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Finding the Fourth Proportional to 12,963.28, 19,448.98 and 4,643.14

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Solution

The fourth proportional to 12,963.28, 19,448.98 and 4,643.14 is: 6,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.28 : 19,448.98 = 4,643.14 : x
  2. Step 2: Convert to fraction form
    12,963.28/19,448.98 = 4,643.14/x
  3. Step 3: Cross multiply
    12,963.28x = 19,448.98 × 4,643.14
  4. Step 4: Simplify right side
    12,963.28x = 90,304,337.00
  5. Step 5: Solve for x
    x = 90,304,337.00/12,963.28
  6. Step 6: Final answer
    x = 6,966.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.