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Finding the Fourth Proportional to 14,065.97, 19,411.56 and 7,693.00

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Solution

The fourth proportional to 14,065.97, 19,411.56 and 7,693.00 is: 10,616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.97 : 19,411.56 = 7,693.00 : x
  2. Step 2: Convert to fraction form
    14,065.97/19,411.56 = 7,693.00/x
  3. Step 3: Cross multiply
    14,065.97x = 19,411.56 × 7,693.00
  4. Step 4: Simplify right side
    14,065.97x = 149,333,082.55
  5. Step 5: Solve for x
    x = 149,333,082.55/14,065.97
  6. Step 6: Final answer
    x = 10,616.62

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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.