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Finding the Fourth Proportional to 14,399, 21,589.28 and 6,076.76

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Solution

The fourth proportional to 14,399, 21,589.28 and 6,076.76 is: 9,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,399 : 21,589.28 = 6,076.76 : x
  2. Step 2: Convert to fraction form
    14,399/21,589.28 = 6,076.76/x
  3. Step 3: Cross multiply
    14,399x = 21,589.28 × 6,076.76
  4. Step 4: Simplify right side
    14,399x = 131,192,873.13
  5. Step 5: Solve for x
    x = 131,192,873.13/14,399
  6. Step 6: Final answer
    x = 9,111.25

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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.