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Finding the Fourth Proportional to 24,009.10, 36,013.65 and 6,478.90

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Solution

The fourth proportional to 24,009.10, 36,013.65 and 6,478.90 is: 9,718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009.10 : 36,013.65 = 6,478.90 : x
  2. Step 2: Convert to fraction form
    24,009.10/36,013.65 = 6,478.90/x
  3. Step 3: Cross multiply
    24,009.10x = 36,013.65 × 6,478.90
  4. Step 4: Simplify right side
    24,009.10x = 233,328,836.99
  5. Step 5: Solve for x
    x = 233,328,836.99/24,009.10
  6. Step 6: Final answer
    x = 9,718.35

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