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Finding the Fourth Proportional to 16,009.60, 23,985.60 and 13,705.60

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Solution

The fourth proportional to 16,009.60, 23,985.60 and 13,705.60 is: 20,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.60 : 23,985.60 = 13,705.60 : x
  2. Step 2: Convert to fraction form
    16,009.60/23,985.60 = 13,705.60/x
  3. Step 3: Cross multiply
    16,009.60x = 23,985.60 × 13,705.60
  4. Step 4: Simplify right side
    16,009.60x = 328,737,039.36
  5. Step 5: Solve for x
    x = 328,737,039.36/16,009.60
  6. Step 6: Final answer
    x = 20,533.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.