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Finding the Fourth Proportional to 24,346.78, 36,495.56 and 9,549.90

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Solution

The fourth proportional to 24,346.78, 36,495.56 and 9,549.90 is: 14,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,346.78 : 36,495.56 = 9,549.90 : x
  2. Step 2: Convert to fraction form
    24,346.78/36,495.56 = 9,549.90/x
  3. Step 3: Cross multiply
    24,346.78x = 36,495.56 × 9,549.90
  4. Step 4: Simplify right side
    24,346.78x = 348,528,972.32
  5. Step 5: Solve for x
    x = 348,528,972.32/24,346.78
  6. Step 6: Final answer
    x = 14,315.20

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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.