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Finding the Fourth Proportional to 16,488, 24,709.50 and 7,598.16

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Solution

The fourth proportional to 16,488, 24,709.50 and 7,598.16 is: 11,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488 : 24,709.50 = 7,598.16 : x
  2. Step 2: Convert to fraction form
    16,488/24,709.50 = 7,598.16/x
  3. Step 3: Cross multiply
    16,488x = 24,709.50 × 7,598.16
  4. Step 4: Simplify right side
    16,488x = 187,746,734.52
  5. Step 5: Solve for x
    x = 187,746,734.52/16,488
  6. Step 6: Final answer
    x = 11,386.87

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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.