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Finding the Fourth Proportional to 13,810.43, 19,059.77 and 8,432.57

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Solution

The fourth proportional to 13,810.43, 19,059.77 and 8,432.57 is: 11,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.43 : 19,059.77 = 8,432.57 : x
  2. Step 2: Convert to fraction form
    13,810.43/19,059.77 = 8,432.57/x
  3. Step 3: Cross multiply
    13,810.43x = 19,059.77 × 8,432.57
  4. Step 4: Simplify right side
    13,810.43x = 160,722,844.71
  5. Step 5: Solve for x
    x = 160,722,844.71/13,810.43
  6. Step 6: Final answer
    x = 11,637.79

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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.