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Finding the Fourth Proportional to 12,681.52, 17,501.10 and 7,016.24

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Solution

The fourth proportional to 12,681.52, 17,501.10 and 7,016.24 is: 9,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.52 : 17,501.10 = 7,016.24 : x
  2. Step 2: Convert to fraction form
    12,681.52/17,501.10 = 7,016.24/x
  3. Step 3: Cross multiply
    12,681.52x = 17,501.10 × 7,016.24
  4. Step 4: Simplify right side
    12,681.52x = 122,791,917.86
  5. Step 5: Solve for x
    x = 122,791,917.86/12,681.52
  6. Step 6: Final answer
    x = 9,682.74

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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.