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Finding the Fourth Proportional to 12,707.06, 17,539.38 and 8,931.14

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Solution

The fourth proportional to 12,707.06, 17,539.38 and 8,931.14 is: 12,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.06 : 17,539.38 = 8,931.14 : x
  2. Step 2: Convert to fraction form
    12,707.06/17,539.38 = 8,931.14/x
  3. Step 3: Cross multiply
    12,707.06x = 17,539.38 × 8,931.14
  4. Step 4: Simplify right side
    12,707.06x = 156,646,658.29
  5. Step 5: Solve for x
    x = 156,646,658.29/12,707.06
  6. Step 6: Final answer
    x = 12,327.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.