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Finding the Fourth Proportional to 12,997.12, 17,931.36 and 7,404.88

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Solution

The fourth proportional to 12,997.12, 17,931.36 and 7,404.88 is: 10,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.12 : 17,931.36 = 7,404.88 : x
  2. Step 2: Convert to fraction form
    12,997.12/17,931.36 = 7,404.88/x
  3. Step 3: Cross multiply
    12,997.12x = 17,931.36 × 7,404.88
  4. Step 4: Simplify right side
    12,997.12x = 132,779,569.04
  5. Step 5: Solve for x
    x = 132,779,569.04/12,997.12
  6. Step 6: Final answer
    x = 10,216.08

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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.