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Finding the Fourth Proportional to 21,970.60, 32,955.90 and 16,138.60

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Solution

The fourth proportional to 21,970.60, 32,955.90 and 16,138.60 is: 24,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.60 : 32,955.90 = 16,138.60 : x
  2. Step 2: Convert to fraction form
    21,970.60/32,955.90 = 16,138.60/x
  3. Step 3: Cross multiply
    21,970.60x = 32,955.90 × 16,138.60
  4. Step 4: Simplify right side
    21,970.60x = 531,862,087.74
  5. Step 5: Solve for x
    x = 531,862,087.74/21,970.60
  6. Step 6: Final answer
    x = 24,207.90

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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.