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Finding the Fourth Proportional to 12,685.47, 17,505.52 and 7,020.46

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Solution

The fourth proportional to 12,685.47, 17,505.52 and 7,020.46 is: 9,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.47 : 17,505.52 = 7,020.46 : x
  2. Step 2: Convert to fraction form
    12,685.47/17,505.52 = 7,020.46/x
  3. Step 3: Cross multiply
    12,685.47x = 17,505.52 × 7,020.46
  4. Step 4: Simplify right side
    12,685.47x = 122,896,741.62
  5. Step 5: Solve for x
    x = 122,896,741.62/12,685.47
  6. Step 6: Final answer
    x = 9,687.99

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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.