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Finding the Fourth Proportional to 12,946.15, 17,846.67 and 9,157.65

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Solution

The fourth proportional to 12,946.15, 17,846.67 and 9,157.65 is: 12,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.15 : 17,846.67 = 9,157.65 : x
  2. Step 2: Convert to fraction form
    12,946.15/17,846.67 = 9,157.65/x
  3. Step 3: Cross multiply
    12,946.15x = 17,846.67 × 9,157.65
  4. Step 4: Simplify right side
    12,946.15x = 163,433,468.29
  5. Step 5: Solve for x
    x = 163,433,468.29/12,946.15
  6. Step 6: Final answer
    x = 12,624.10

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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.