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Finding the Fourth Proportional to 12,317.43, 17,000.78 and 7,538.43

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Solution

The fourth proportional to 12,317.43, 17,000.78 and 7,538.43 is: 10,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.43 : 17,000.78 = 7,538.43 : x
  2. Step 2: Convert to fraction form
    12,317.43/17,000.78 = 7,538.43/x
  3. Step 3: Cross multiply
    12,317.43x = 17,000.78 × 7,538.43
  4. Step 4: Simplify right side
    12,317.43x = 128,159,152.28
  5. Step 5: Solve for x
    x = 128,159,152.28/12,317.43
  6. Step 6: Final answer
    x = 10,404.70

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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.