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Finding the Fourth Proportional to 13,535.83, 18,680.47 and 7,567.14

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Solution

The fourth proportional to 13,535.83, 18,680.47 and 7,567.14 is: 10,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.83 : 18,680.47 = 7,567.14 : x
  2. Step 2: Convert to fraction form
    13,535.83/18,680.47 = 7,567.14/x
  3. Step 3: Cross multiply
    13,535.83x = 18,680.47 × 7,567.14
  4. Step 4: Simplify right side
    13,535.83x = 141,357,731.76
  5. Step 5: Solve for x
    x = 141,357,731.76/13,535.83
  6. Step 6: Final answer
    x = 10,443.23

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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.