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Finding the Fourth Proportional to 24,013.60, 36,009.60 and 9,217.60

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Solution

The fourth proportional to 24,013.60, 36,009.60 and 9,217.60 is: 13,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.60 : 36,009.60 = 9,217.60 : x
  2. Step 2: Convert to fraction form
    24,013.60/36,009.60 = 9,217.60/x
  3. Step 3: Cross multiply
    24,013.60x = 36,009.60 × 9,217.60
  4. Step 4: Simplify right side
    24,013.60x = 331,922,088.96
  5. Step 5: Solve for x
    x = 331,922,088.96/24,013.60
  6. Step 6: Final answer
    x = 13,822.25

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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.