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Finding the Fourth Proportional to 24,698, 34,091.88 and 14,762

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Solution

The fourth proportional to 24,698, 34,091.88 and 14,762 is: 20,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698 : 34,091.88 = 14,762 : x
  2. Step 2: Convert to fraction form
    24,698/34,091.88 = 14,762/x
  3. Step 3: Cross multiply
    24,698x = 34,091.88 × 14,762
  4. Step 4: Simplify right side
    24,698x = 503,264,332.56
  5. Step 5: Solve for x
    x = 503,264,332.56/24,698
  6. Step 6: Final answer
    x = 20,376.72

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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.