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Finding the Fourth Proportional to 28,123.60, 42,186.16 and 12,320.50

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Solution

The fourth proportional to 28,123.60, 42,186.16 and 12,320.50 is: 18,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,123.60 : 42,186.16 = 12,320.50 : x
  2. Step 2: Convert to fraction form
    28,123.60/42,186.16 = 12,320.50/x
  3. Step 3: Cross multiply
    28,123.60x = 42,186.16 × 12,320.50
  4. Step 4: Simplify right side
    28,123.60x = 519,754,584.28
  5. Step 5: Solve for x
    x = 519,754,584.28/28,123.60
  6. Step 6: Final answer
    x = 18,481.08

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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.