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Finding the Fourth Proportional to 17,607.71, 24,298.50 and 9,649.92

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Solution

The fourth proportional to 17,607.71, 24,298.50 and 9,649.92 is: 13,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,607.71 : 24,298.50 = 9,649.92 : x
  2. Step 2: Convert to fraction form
    17,607.71/24,298.50 = 9,649.92/x
  3. Step 3: Cross multiply
    17,607.71x = 24,298.50 × 9,649.92
  4. Step 4: Simplify right side
    17,607.71x = 234,478,544.50
  5. Step 5: Solve for x
    x = 234,478,544.50/17,607.71
  6. Step 6: Final answer
    x = 13,316.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.