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Finding the Fourth Proportional to 24,784.92, 34,203.26 and 14,718.38

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Solution

The fourth proportional to 24,784.92, 34,203.26 and 14,718.38 is: 20,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.92 : 34,203.26 = 14,718.38 : x
  2. Step 2: Convert to fraction form
    24,784.92/34,203.26 = 14,718.38/x
  3. Step 3: Cross multiply
    24,784.92x = 34,203.26 × 14,718.38
  4. Step 4: Simplify right side
    24,784.92x = 503,416,443.70
  5. Step 5: Solve for x
    x = 503,416,443.70/24,784.92
  6. Step 6: Final answer
    x = 20,311.40

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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.