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Finding the Fourth Proportional to 13,901.15, 19,178.82 and 7,928.52

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Solution

The fourth proportional to 13,901.15, 19,178.82 and 7,928.52 is: 10,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.15 : 19,178.82 = 7,928.52 : x
  2. Step 2: Convert to fraction form
    13,901.15/19,178.82 = 7,928.52/x
  3. Step 3: Cross multiply
    13,901.15x = 19,178.82 × 7,928.52
  4. Step 4: Simplify right side
    13,901.15x = 152,059,657.95
  5. Step 5: Solve for x
    x = 152,059,657.95/13,901.15
  6. Step 6: Final answer
    x = 10,938.64

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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.