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Finding the Fourth Proportional to 12,843.65, 19,258.17 and 7,653.17

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Solution

The fourth proportional to 12,843.65, 19,258.17 and 7,653.17 is: 11,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.65 : 19,258.17 = 7,653.17 : x
  2. Step 2: Convert to fraction form
    12,843.65/19,258.17 = 7,653.17/x
  3. Step 3: Cross multiply
    12,843.65x = 19,258.17 × 7,653.17
  4. Step 4: Simplify right side
    12,843.65x = 147,385,952.61
  5. Step 5: Solve for x
    x = 147,385,952.61/12,843.65
  6. Step 6: Final answer
    x = 11,475.40

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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.