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Finding the Fourth Proportional to 22,595.32, 31,180.14 and 13,274.16

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Solution

The fourth proportional to 22,595.32, 31,180.14 and 13,274.16 is: 18,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,595.32 : 31,180.14 = 13,274.16 : x
  2. Step 2: Convert to fraction form
    22,595.32/31,180.14 = 13,274.16/x
  3. Step 3: Cross multiply
    22,595.32x = 31,180.14 × 13,274.16
  4. Step 4: Simplify right side
    22,595.32x = 413,890,167.18
  5. Step 5: Solve for x
    x = 413,890,167.18/22,595.32
  6. Step 6: Final answer
    x = 18,317.52

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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.