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Finding the Fourth Proportional to 14,472.50, 21,711.33 and 5,117.95

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Solution

The fourth proportional to 14,472.50, 21,711.33 and 5,117.95 is: 7,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.50 : 21,711.33 = 5,117.95 : x
  2. Step 2: Convert to fraction form
    14,472.50/21,711.33 = 5,117.95/x
  3. Step 3: Cross multiply
    14,472.50x = 21,711.33 × 5,117.95
  4. Step 4: Simplify right side
    14,472.50x = 111,117,501.37
  5. Step 5: Solve for x
    x = 111,117,501.37/14,472.50
  6. Step 6: Final answer
    x = 7,677.84

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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.