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Finding the Fourth Proportional to 12,707.55, 17,534.75 and 7,042.02

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Solution

The fourth proportional to 12,707.55, 17,534.75 and 7,042.02 is: 9,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.55 : 17,534.75 = 7,042.02 : x
  2. Step 2: Convert to fraction form
    12,707.55/17,534.75 = 7,042.02/x
  3. Step 3: Cross multiply
    12,707.55x = 17,534.75 × 7,042.02
  4. Step 4: Simplify right side
    12,707.55x = 123,480,060.20
  5. Step 5: Solve for x
    x = 123,480,060.20/12,707.55
  6. Step 6: Final answer
    x = 9,717.07

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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.