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Finding the Fourth Proportional to 13,534.41, 18,675.94 and 7,565.88

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Solution

The fourth proportional to 13,534.41, 18,675.94 and 7,565.88 is: 10,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.41 : 18,675.94 = 7,565.88 : x
  2. Step 2: Convert to fraction form
    13,534.41/18,675.94 = 7,565.88/x
  3. Step 3: Cross multiply
    13,534.41x = 18,675.94 × 7,565.88
  4. Step 4: Simplify right side
    13,534.41x = 141,299,920.93
  5. Step 5: Solve for x
    x = 141,299,920.93/13,534.41
  6. Step 6: Final answer
    x = 10,440.05

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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.