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Finding the Fourth Proportional to 22,515.90, 31,073.12 and 12,957.24

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Solution

The fourth proportional to 22,515.90, 31,073.12 and 12,957.24 is: 17,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515.90 : 31,073.12 = 12,957.24 : x
  2. Step 2: Convert to fraction form
    22,515.90/31,073.12 = 12,957.24/x
  3. Step 3: Cross multiply
    22,515.90x = 31,073.12 × 12,957.24
  4. Step 4: Simplify right side
    22,515.90x = 402,621,873.39
  5. Step 5: Solve for x
    x = 402,621,873.39/22,515.90
  6. Step 6: Final answer
    x = 17,881.67

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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.