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Finding the Fourth Proportional to 13,901.12, 19,184.16 and 7,934.40

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Solution

The fourth proportional to 13,901.12, 19,184.16 and 7,934.40 is: 10,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.12 : 19,184.16 = 7,934.40 : x
  2. Step 2: Convert to fraction form
    13,901.12/19,184.16 = 7,934.40/x
  3. Step 3: Cross multiply
    13,901.12x = 19,184.16 × 7,934.40
  4. Step 4: Simplify right side
    13,901.12x = 152,214,799.10
  5. Step 5: Solve for x
    x = 152,214,799.10/13,901.12
  6. Step 6: Final answer
    x = 10,949.82

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