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Finding the Fourth Proportional to 14,179.84, 19,565.76 and 7,891

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Solution

The fourth proportional to 14,179.84, 19,565.76 and 7,891 is: 10,888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,179.84 : 19,565.76 = 7,891 : x
  2. Step 2: Convert to fraction form
    14,179.84/19,565.76 = 7,891/x
  3. Step 3: Cross multiply
    14,179.84x = 19,565.76 × 7,891
  4. Step 4: Simplify right side
    14,179.84x = 154,393,412.16
  5. Step 5: Solve for x
    x = 154,393,412.16/14,179.84
  6. Step 6: Final answer
    x = 10,888.23

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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.