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Finding the Fourth Proportional to 24,724.32, 34,124.04 and 15,774.60

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Solution

The fourth proportional to 24,724.32, 34,124.04 and 15,774.60 is: 21,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,724.32 : 34,124.04 = 15,774.60 : x
  2. Step 2: Convert to fraction form
    24,724.32/34,124.04 = 15,774.60/x
  3. Step 3: Cross multiply
    24,724.32x = 34,124.04 × 15,774.60
  4. Step 4: Simplify right side
    24,724.32x = 538,293,081.38
  5. Step 5: Solve for x
    x = 538,293,081.38/24,724.32
  6. Step 6: Final answer
    x = 21,771.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.