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Finding the Fourth Proportional to 16,437.68, 24,656.70 and 4,751

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Solution

The fourth proportional to 16,437.68, 24,656.70 and 4,751 is: 7,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437.68 : 24,656.70 = 4,751 : x
  2. Step 2: Convert to fraction form
    16,437.68/24,656.70 = 4,751/x
  3. Step 3: Cross multiply
    16,437.68x = 24,656.70 × 4,751
  4. Step 4: Simplify right side
    16,437.68x = 117,143,981.70
  5. Step 5: Solve for x
    x = 117,143,981.70/16,437.68
  6. Step 6: Final answer
    x = 7,126.55

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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.