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Finding the Fourth Proportional to 24,416.65, 36,612.85 and 7,774.50

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Solution

The fourth proportional to 24,416.65, 36,612.85 and 7,774.50 is: 11,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.65 : 36,612.85 = 7,774.50 : x
  2. Step 2: Convert to fraction form
    24,416.65/36,612.85 = 7,774.50/x
  3. Step 3: Cross multiply
    24,416.65x = 36,612.85 × 7,774.50
  4. Step 4: Simplify right side
    24,416.65x = 284,646,602.33
  5. Step 5: Solve for x
    x = 284,646,602.33/24,416.65
  6. Step 6: Final answer
    x = 11,657.89

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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.