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Finding the Fourth Proportional to 13,535.16, 18,677.76 and 7,565.64

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Solution

The fourth proportional to 13,535.16, 18,677.76 and 7,565.64 is: 10,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.16 : 18,677.76 = 7,565.64 : x
  2. Step 2: Convert to fraction form
    13,535.16/18,677.76 = 7,565.64/x
  3. Step 3: Cross multiply
    13,535.16x = 18,677.76 × 7,565.64
  4. Step 4: Simplify right side
    13,535.16x = 141,309,208.17
  5. Step 5: Solve for x
    x = 141,309,208.17/13,535.16
  6. Step 6: Final answer
    x = 10,440.16

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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.