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Finding the Fourth Proportional to 24,539.28, 36,800.76 and 7,895.40

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Solution

The fourth proportional to 24,539.28, 36,800.76 and 7,895.40 is: 11,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,539.28 : 36,800.76 = 7,895.40 : x
  2. Step 2: Convert to fraction form
    24,539.28/36,800.76 = 7,895.40/x
  3. Step 3: Cross multiply
    24,539.28x = 36,800.76 × 7,895.40
  4. Step 4: Simplify right side
    24,539.28x = 290,556,720.50
  5. Step 5: Solve for x
    x = 290,556,720.50/24,539.28
  6. Step 6: Final answer
    x = 11,840.47

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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.