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Finding the Fourth Proportional to 14,602.38, 20,151.28 and 7,978.38

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Solution

The fourth proportional to 14,602.38, 20,151.28 and 7,978.38 is: 11,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.38 : 20,151.28 = 7,978.38 : x
  2. Step 2: Convert to fraction form
    14,602.38/20,151.28 = 7,978.38/x
  3. Step 3: Cross multiply
    14,602.38x = 20,151.28 × 7,978.38
  4. Step 4: Simplify right side
    14,602.38x = 160,774,569.33
  5. Step 5: Solve for x
    x = 160,774,569.33/14,602.38
  6. Step 6: Final answer
    x = 11,010.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.