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Finding the Fourth Proportional to 14,788.71, 20,384.06 and 10,483.20

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Solution

The fourth proportional to 14,788.71, 20,384.06 and 10,483.20 is: 14,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,788.71 : 20,384.06 = 10,483.20 : x
  2. Step 2: Convert to fraction form
    14,788.71/20,384.06 = 10,483.20/x
  3. Step 3: Cross multiply
    14,788.71x = 20,384.06 × 10,483.20
  4. Step 4: Simplify right side
    14,788.71x = 213,690,125.38
  5. Step 5: Solve for x
    x = 213,690,125.38/14,788.71
  6. Step 6: Final answer
    x = 14,449.54

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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.