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Finding the Fourth Proportional to 24,182.72, 36,261 and 8,386.59

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Solution

The fourth proportional to 24,182.72, 36,261 and 8,386.59 is: 12,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,182.72 : 36,261 = 8,386.59 : x
  2. Step 2: Convert to fraction form
    24,182.72/36,261 = 8,386.59/x
  3. Step 3: Cross multiply
    24,182.72x = 36,261 × 8,386.59
  4. Step 4: Simplify right side
    24,182.72x = 304,106,072.00
  5. Step 5: Solve for x
    x = 304,106,072.00/24,182.72
  6. Step 6: Final answer
    x = 12,575.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.