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Finding the Fourth Proportional to 17,613.32, 24,302.58 and 10,157

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Solution

The fourth proportional to 17,613.32, 24,302.58 and 10,157 is: 14,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,613.32 : 24,302.58 = 10,157 : x
  2. Step 2: Convert to fraction form
    17,613.32/24,302.58 = 10,157/x
  3. Step 3: Cross multiply
    17,613.32x = 24,302.58 × 10,157
  4. Step 4: Simplify right side
    17,613.32x = 246,841,305.06
  5. Step 5: Solve for x
    x = 246,841,305.06/17,613.32
  6. Step 6: Final answer
    x = 14,014.47

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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.