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Finding the Fourth Proportional to 24,209.35, 36,309 and 9,417.94

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Solution

The fourth proportional to 24,209.35, 36,309 and 9,417.94 is: 14,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.35 : 36,309 = 9,417.94 : x
  2. Step 2: Convert to fraction form
    24,209.35/36,309 = 9,417.94/x
  3. Step 3: Cross multiply
    24,209.35x = 36,309 × 9,417.94
  4. Step 4: Simplify right side
    24,209.35x = 341,955,983.46
  5. Step 5: Solve for x
    x = 341,955,983.46/24,209.35
  6. Step 6: Final answer
    x = 14,124.96

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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.