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Finding the Fourth Proportional to 14,113.59, 19,476.78 and 7,825.95

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Solution

The fourth proportional to 14,113.59, 19,476.78 and 7,825.95 is: 10,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.59 : 19,476.78 = 7,825.95 : x
  2. Step 2: Convert to fraction form
    14,113.59/19,476.78 = 7,825.95/x
  3. Step 3: Cross multiply
    14,113.59x = 19,476.78 × 7,825.95
  4. Step 4: Simplify right side
    14,113.59x = 152,424,306.44
  5. Step 5: Solve for x
    x = 152,424,306.44/14,113.59
  6. Step 6: Final answer
    x = 10,799.83

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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.