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Finding the Fourth Proportional to 24,144.42, 36,225.88 and 9,354.50

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Solution

The fourth proportional to 24,144.42, 36,225.88 and 9,354.50 is: 14,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.42 : 36,225.88 = 9,354.50 : x
  2. Step 2: Convert to fraction form
    24,144.42/36,225.88 = 9,354.50/x
  3. Step 3: Cross multiply
    24,144.42x = 36,225.88 × 9,354.50
  4. Step 4: Simplify right side
    24,144.42x = 338,874,994.46
  5. Step 5: Solve for x
    x = 338,874,994.46/24,144.42
  6. Step 6: Final answer
    x = 14,035.33

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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.