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Finding the Fourth Proportional to 24,357.72, 36,511.38 and 13,261.38

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Solution

The fourth proportional to 24,357.72, 36,511.38 and 13,261.38 is: 19,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.72 : 36,511.38 = 13,261.38 : x
  2. Step 2: Convert to fraction form
    24,357.72/36,511.38 = 13,261.38/x
  3. Step 3: Cross multiply
    24,357.72x = 36,511.38 × 13,261.38
  4. Step 4: Simplify right side
    24,357.72x = 484,191,284.50
  5. Step 5: Solve for x
    x = 484,191,284.50/24,357.72
  6. Step 6: Final answer
    x = 19,878.35

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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.