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Finding the Fourth Proportional to 12,946.65, 17,847.36 and 9,158.15

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Solution

The fourth proportional to 12,946.65, 17,847.36 and 9,158.15 is: 12,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.65 : 17,847.36 = 9,158.15 : x
  2. Step 2: Convert to fraction form
    12,946.65/17,847.36 = 9,158.15/x
  3. Step 3: Cross multiply
    12,946.65x = 17,847.36 × 9,158.15
  4. Step 4: Simplify right side
    12,946.65x = 163,448,710.75
  5. Step 5: Solve for x
    x = 163,448,710.75/12,946.65
  6. Step 6: Final answer
    x = 12,624.79

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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.