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Finding the Fourth Proportional to 12,659.30, 18,971.12 and 9,686.23

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Solution

The fourth proportional to 12,659.30, 18,971.12 and 9,686.23 is: 14,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.30 : 18,971.12 = 9,686.23 : x
  2. Step 2: Convert to fraction form
    12,659.30/18,971.12 = 9,686.23/x
  3. Step 3: Cross multiply
    12,659.30x = 18,971.12 × 9,686.23
  4. Step 4: Simplify right side
    12,659.30x = 183,758,631.68
  5. Step 5: Solve for x
    x = 183,758,631.68/12,659.30
  6. Step 6: Final answer
    x = 14,515.70

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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.