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Finding the Fourth Proportional to 24,051.50, 36,077.16 and 6,521.28

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Solution

The fourth proportional to 24,051.50, 36,077.16 and 6,521.28 is: 9,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,051.50 : 36,077.16 = 6,521.28 : x
  2. Step 2: Convert to fraction form
    24,051.50/36,077.16 = 6,521.28/x
  3. Step 3: Cross multiply
    24,051.50x = 36,077.16 × 6,521.28
  4. Step 4: Simplify right side
    24,051.50x = 235,269,261.96
  5. Step 5: Solve for x
    x = 235,269,261.96/24,051.50
  6. Step 6: Final answer
    x = 9,781.90

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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.