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Finding the Fourth Proportional to 22,597.43, 31,184.14 and 12,525.64

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Solution

The fourth proportional to 22,597.43, 31,184.14 and 12,525.64 is: 17,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.43 : 31,184.14 = 12,525.64 : x
  2. Step 2: Convert to fraction form
    22,597.43/31,184.14 = 12,525.64/x
  3. Step 3: Cross multiply
    22,597.43x = 31,184.14 × 12,525.64
  4. Step 4: Simplify right side
    22,597.43x = 390,601,225.56
  5. Step 5: Solve for x
    x = 390,601,225.56/22,597.43
  6. Step 6: Final answer
    x = 17,285.21

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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.