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Finding the Fourth Proportional to 13,580.34, 20,373.58 and 6,182.82

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Solution

The fourth proportional to 13,580.34, 20,373.58 and 6,182.82 is: 9,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.34 : 20,373.58 = 6,182.82 : x
  2. Step 2: Convert to fraction form
    13,580.34/20,373.58 = 6,182.82/x
  3. Step 3: Cross multiply
    13,580.34x = 20,373.58 × 6,182.82
  4. Step 4: Simplify right side
    13,580.34x = 125,966,177.90
  5. Step 5: Solve for x
    x = 125,966,177.90/13,580.34
  6. Step 6: Final answer
    x = 9,275.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.