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Finding the Fourth Proportional to 22,522.16, 31,080.52 and 12,586.16

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Solution

The fourth proportional to 22,522.16, 31,080.52 and 12,586.16 is: 17,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.16 : 31,080.52 = 12,586.16 : x
  2. Step 2: Convert to fraction form
    22,522.16/31,080.52 = 12,586.16/x
  3. Step 3: Cross multiply
    22,522.16x = 31,080.52 × 12,586.16
  4. Step 4: Simplify right side
    22,522.16x = 391,184,397.60
  5. Step 5: Solve for x
    x = 391,184,397.60/22,522.16
  6. Step 6: Final answer
    x = 17,368.87

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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.