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Finding the Fourth Proportional to 14,812.50, 22,218.72 and 5,931.82

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Solution

The fourth proportional to 14,812.50, 22,218.72 and 5,931.82 is: 8,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,812.50 : 22,218.72 = 5,931.82 : x
  2. Step 2: Convert to fraction form
    14,812.50/22,218.72 = 5,931.82/x
  3. Step 3: Cross multiply
    14,812.50x = 22,218.72 × 5,931.82
  4. Step 4: Simplify right side
    14,812.50x = 131,797,447.67
  5. Step 5: Solve for x
    x = 131,797,447.67/14,812.50
  6. Step 6: Final answer
    x = 8,897.72

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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.