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Finding the Fourth Proportional to 14,924.64, 22,387.65 and 14,206.46

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Solution

The fourth proportional to 14,924.64, 22,387.65 and 14,206.46 is: 21,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,924.64 : 22,387.65 = 14,206.46 : x
  2. Step 2: Convert to fraction form
    14,924.64/22,387.65 = 14,206.46/x
  3. Step 3: Cross multiply
    14,924.64x = 22,387.65 × 14,206.46
  4. Step 4: Simplify right side
    14,924.64x = 318,049,183.19
  5. Step 5: Solve for x
    x = 318,049,183.19/14,924.64
  6. Step 6: Final answer
    x = 21,310.34

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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.