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Finding the Fourth Proportional to 10,614.69, 15,829.37 and 9,304.51

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Solution

The fourth proportional to 10,614.69, 15,829.37 and 9,304.51 is: 13,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.69 : 15,829.37 = 9,304.51 : x
  2. Step 2: Convert to fraction form
    10,614.69/15,829.37 = 9,304.51/x
  3. Step 3: Cross multiply
    10,614.69x = 15,829.37 × 9,304.51
  4. Step 4: Simplify right side
    10,614.69x = 147,284,531.46
  5. Step 5: Solve for x
    x = 147,284,531.46/10,614.69
  6. Step 6: Final answer
    x = 13,875.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.