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Finding the Fourth Proportional to 22,586.88, 31,169.95 and 12,515.24

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Solution

The fourth proportional to 22,586.88, 31,169.95 and 12,515.24 is: 17,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.88 : 31,169.95 = 12,515.24 : x
  2. Step 2: Convert to fraction form
    22,586.88/31,169.95 = 12,515.24/x
  3. Step 3: Cross multiply
    22,586.88x = 31,169.95 × 12,515.24
  4. Step 4: Simplify right side
    22,586.88x = 390,099,405.04
  5. Step 5: Solve for x
    x = 390,099,405.04/22,586.88
  6. Step 6: Final answer
    x = 17,271.06

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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.