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Finding the Fourth Proportional to 24,246.78, 36,354.06 and 9,457.08

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Solution

The fourth proportional to 24,246.78, 36,354.06 and 9,457.08 is: 14,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,246.78 : 36,354.06 = 9,457.08 : x
  2. Step 2: Convert to fraction form
    24,246.78/36,354.06 = 9,457.08/x
  3. Step 3: Cross multiply
    24,246.78x = 36,354.06 × 9,457.08
  4. Step 4: Simplify right side
    24,246.78x = 343,803,253.74
  5. Step 5: Solve for x
    x = 343,803,253.74/24,246.78
  6. Step 6: Final answer
    x = 14,179.34

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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.