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Finding the Fourth Proportional to 17,567.40, 24,254.71 and 10,399.62

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Solution

The fourth proportional to 17,567.40, 24,254.71 and 10,399.62 is: 14,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,567.40 : 24,254.71 = 10,399.62 : x
  2. Step 2: Convert to fraction form
    17,567.40/24,254.71 = 10,399.62/x
  3. Step 3: Cross multiply
    17,567.40x = 24,254.71 × 10,399.62
  4. Step 4: Simplify right side
    17,567.40x = 252,239,854.10
  5. Step 5: Solve for x
    x = 252,239,854.10/17,567.40
  6. Step 6: Final answer
    x = 14,358.40

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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.