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Finding the Fourth Proportional to 14,290.32, 21,449.40 and 6,900

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Solution

The fourth proportional to 14,290.32, 21,449.40 and 6,900 is: 10,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.32 : 21,449.40 = 6,900 : x
  2. Step 2: Convert to fraction form
    14,290.32/21,449.40 = 6,900/x
  3. Step 3: Cross multiply
    14,290.32x = 21,449.40 × 6,900
  4. Step 4: Simplify right side
    14,290.32x = 148,000,860
  5. Step 5: Solve for x
    x = 148,000,860/14,290.32
  6. Step 6: Final answer
    x = 10,356.72

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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.