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Finding the Fourth Proportional to 15,773.40, 23,663.70 and 5,385

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Solution

The fourth proportional to 15,773.40, 23,663.70 and 5,385 is: 8,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.40 : 23,663.70 = 5,385 : x
  2. Step 2: Convert to fraction form
    15,773.40/23,663.70 = 5,385/x
  3. Step 3: Cross multiply
    15,773.40x = 23,663.70 × 5,385
  4. Step 4: Simplify right side
    15,773.40x = 127,429,024.50
  5. Step 5: Solve for x
    x = 127,429,024.50/15,773.40
  6. Step 6: Final answer
    x = 8,078.73

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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.