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Finding the Fourth Proportional to 13,502.47, 18,630.42 and 7,833.93

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Solution

The fourth proportional to 13,502.47, 18,630.42 and 7,833.93 is: 10,809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.47 : 18,630.42 = 7,833.93 : x
  2. Step 2: Convert to fraction form
    13,502.47/18,630.42 = 7,833.93/x
  3. Step 3: Cross multiply
    13,502.47x = 18,630.42 × 7,833.93
  4. Step 4: Simplify right side
    13,502.47x = 145,949,273.83
  5. Step 5: Solve for x
    x = 145,949,273.83/13,502.47
  6. Step 6: Final answer
    x = 10,809.08

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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.