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Finding the Fourth Proportional to 24,622.34, 36,925.78 and 7,978.53

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Solution

The fourth proportional to 24,622.34, 36,925.78 and 7,978.53 is: 11,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,622.34 : 36,925.78 = 7,978.53 : x
  2. Step 2: Convert to fraction form
    24,622.34/36,925.78 = 7,978.53/x
  3. Step 3: Cross multiply
    24,622.34x = 36,925.78 × 7,978.53
  4. Step 4: Simplify right side
    24,622.34x = 294,613,443.50
  5. Step 5: Solve for x
    x = 294,613,443.50/24,622.34
  6. Step 6: Final answer
    x = 11,965.29

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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.