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Finding the Fourth Proportional to 16,634.88, 24,956.40 and 4,948.08

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Solution

The fourth proportional to 16,634.88, 24,956.40 and 4,948.08 is: 7,423.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634.88 : 24,956.40 = 4,948.08 : x
  2. Step 2: Convert to fraction form
    16,634.88/24,956.40 = 4,948.08/x
  3. Step 3: Cross multiply
    16,634.88x = 24,956.40 × 4,948.08
  4. Step 4: Simplify right side
    16,634.88x = 123,486,263.71
  5. Step 5: Solve for x
    x = 123,486,263.71/16,634.88
  6. Step 6: Final answer
    x = 7,423.33

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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.