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Finding the Fourth Proportional to 24,176.86, 33,363.14 and 13,567.10

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Solution

The fourth proportional to 24,176.86, 33,363.14 and 13,567.10 is: 18,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176.86 : 33,363.14 = 13,567.10 : x
  2. Step 2: Convert to fraction form
    24,176.86/33,363.14 = 13,567.10/x
  3. Step 3: Cross multiply
    24,176.86x = 33,363.14 × 13,567.10
  4. Step 4: Simplify right side
    24,176.86x = 452,641,056.69
  5. Step 5: Solve for x
    x = 452,641,056.69/24,176.86
  6. Step 6: Final answer
    x = 18,722.08

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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.