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Finding the Fourth Proportional to 12,937.32, 17,855.64 and 10,147.68

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Solution

The fourth proportional to 12,937.32, 17,855.64 and 10,147.68 is: 14,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.32 : 17,855.64 = 10,147.68 : x
  2. Step 2: Convert to fraction form
    12,937.32/17,855.64 = 10,147.68/x
  3. Step 3: Cross multiply
    12,937.32x = 17,855.64 × 10,147.68
  4. Step 4: Simplify right side
    12,937.32x = 181,193,320.92
  5. Step 5: Solve for x
    x = 181,193,320.92/12,937.32
  6. Step 6: Final answer
    x = 14,005.48

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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.