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Finding the Fourth Proportional to 14,187.12, 19,578.84 and 7,899.50

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Solution

The fourth proportional to 14,187.12, 19,578.84 and 7,899.50 is: 10,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187.12 : 19,578.84 = 7,899.50 : x
  2. Step 2: Convert to fraction form
    14,187.12/19,578.84 = 7,899.50/x
  3. Step 3: Cross multiply
    14,187.12x = 19,578.84 × 7,899.50
  4. Step 4: Simplify right side
    14,187.12x = 154,663,046.58
  5. Step 5: Solve for x
    x = 154,663,046.58/14,187.12
  6. Step 6: Final answer
    x = 10,901.65

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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.