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Finding the Fourth Proportional to 24,197.74, 36,306 and 9,417.04

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Solution

The fourth proportional to 24,197.74, 36,306 and 9,417.04 is: 14,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.74 : 36,306 = 9,417.04 : x
  2. Step 2: Convert to fraction form
    24,197.74/36,306 = 9,417.04/x
  3. Step 3: Cross multiply
    24,197.74x = 36,306 × 9,417.04
  4. Step 4: Simplify right side
    24,197.74x = 341,895,054.24
  5. Step 5: Solve for x
    x = 341,895,054.24/24,197.74
  6. Step 6: Final answer
    x = 14,129.21

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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.