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Finding the Fourth Proportional to 13,534.12, 18,677 and 7,565.76

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Solution

The fourth proportional to 13,534.12, 18,677 and 7,565.76 is: 10,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.12 : 18,677 = 7,565.76 : x
  2. Step 2: Convert to fraction form
    13,534.12/18,677 = 7,565.76/x
  3. Step 3: Cross multiply
    13,534.12x = 18,677 × 7,565.76
  4. Step 4: Simplify right side
    13,534.12x = 141,305,699.52
  5. Step 5: Solve for x
    x = 141,305,699.52/13,534.12
  6. Step 6: Final answer
    x = 10,440.70

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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.