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Finding the Fourth Proportional to 13,702.03, 18,909.06 and 7,732.54

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Solution

The fourth proportional to 13,702.03, 18,909.06 and 7,732.54 is: 10,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.03 : 18,909.06 = 7,732.54 : x
  2. Step 2: Convert to fraction form
    13,702.03/18,909.06 = 7,732.54/x
  3. Step 3: Cross multiply
    13,702.03x = 18,909.06 × 7,732.54
  4. Step 4: Simplify right side
    13,702.03x = 146,215,062.81
  5. Step 5: Solve for x
    x = 146,215,062.81/13,702.03
  6. Step 6: Final answer
    x = 10,671.05

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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.