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Finding the Fourth Proportional to 14,544.64, 20,071.68 and 8,498.40

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Solution

The fourth proportional to 14,544.64, 20,071.68 and 8,498.40 is: 11,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.64 : 20,071.68 = 8,498.40 : x
  2. Step 2: Convert to fraction form
    14,544.64/20,071.68 = 8,498.40/x
  3. Step 3: Cross multiply
    14,544.64x = 20,071.68 × 8,498.40
  4. Step 4: Simplify right side
    14,544.64x = 170,577,165.31
  5. Step 5: Solve for x
    x = 170,577,165.31/14,544.64
  6. Step 6: Final answer
    x = 11,727.84

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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.