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Finding the Fourth Proportional to 14,256.56, 21,387.32 and 6,874.32

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Solution

The fourth proportional to 14,256.56, 21,387.32 and 6,874.32 is: 10,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.56 : 21,387.32 = 6,874.32 : x
  2. Step 2: Convert to fraction form
    14,256.56/21,387.32 = 6,874.32/x
  3. Step 3: Cross multiply
    14,256.56x = 21,387.32 × 6,874.32
  4. Step 4: Simplify right side
    14,256.56x = 147,023,281.62
  5. Step 5: Solve for x
    x = 147,023,281.62/14,256.56
  6. Step 6: Final answer
    x = 10,312.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.