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Finding the Fourth Proportional to 24,341.81, 36,490.85 and 8,748.50

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Solution

The fourth proportional to 24,341.81, 36,490.85 and 8,748.50 is: 13,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,341.81 : 36,490.85 = 8,748.50 : x
  2. Step 2: Convert to fraction form
    24,341.81/36,490.85 = 8,748.50/x
  3. Step 3: Cross multiply
    24,341.81x = 36,490.85 × 8,748.50
  4. Step 4: Simplify right side
    24,341.81x = 319,240,157.48
  5. Step 5: Solve for x
    x = 319,240,157.48/24,341.81
  6. Step 6: Final answer
    x = 13,114.89

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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.