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Finding the Fourth Proportional to 12,685.24, 17,505.66 and 7,020.40

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Solution

The fourth proportional to 12,685.24, 17,505.66 and 7,020.40 is: 9,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.24 : 17,505.66 = 7,020.40 : x
  2. Step 2: Convert to fraction form
    12,685.24/17,505.66 = 7,020.40/x
  3. Step 3: Cross multiply
    12,685.24x = 17,505.66 × 7,020.40
  4. Step 4: Simplify right side
    12,685.24x = 122,896,735.46
  5. Step 5: Solve for x
    x = 122,896,735.46/12,685.24
  6. Step 6: Final answer
    x = 9,688.17

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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.