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Finding the Fourth Proportional to 24,415.26, 36,656.76 and 12,577.50

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Solution

The fourth proportional to 24,415.26, 36,656.76 and 12,577.50 is: 18,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.26 : 36,656.76 = 12,577.50 : x
  2. Step 2: Convert to fraction form
    24,415.26/36,656.76 = 12,577.50/x
  3. Step 3: Cross multiply
    24,415.26x = 36,656.76 × 12,577.50
  4. Step 4: Simplify right side
    24,415.26x = 461,050,398.90
  5. Step 5: Solve for x
    x = 461,050,398.90/24,415.26
  6. Step 6: Final answer
    x = 18,883.70

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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.