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Finding the Fourth Proportional to 24,350.80, 36,526 and 7,710.84

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Solution

The fourth proportional to 24,350.80, 36,526 and 7,710.84 is: 11,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,350.80 : 36,526 = 7,710.84 : x
  2. Step 2: Convert to fraction form
    24,350.80/36,526 = 7,710.84/x
  3. Step 3: Cross multiply
    24,350.80x = 36,526 × 7,710.84
  4. Step 4: Simplify right side
    24,350.80x = 281,646,141.84
  5. Step 5: Solve for x
    x = 281,646,141.84/24,350.80
  6. Step 6: Final answer
    x = 11,566.20

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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.