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Finding the Fourth Proportional to 17,666.15, 24,379.16 and 9,599.74

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Solution

The fourth proportional to 17,666.15, 24,379.16 and 9,599.74 is: 13,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.15 : 24,379.16 = 9,599.74 : x
  2. Step 2: Convert to fraction form
    17,666.15/24,379.16 = 9,599.74/x
  3. Step 3: Cross multiply
    17,666.15x = 24,379.16 × 9,599.74
  4. Step 4: Simplify right side
    17,666.15x = 234,033,488.47
  5. Step 5: Solve for x
    x = 234,033,488.47/17,666.15
  6. Step 6: Final answer
    x = 13,247.57

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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.