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Finding the Fourth Proportional to 14,742.88, 22,114.80 and 5,508.64

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Solution

The fourth proportional to 14,742.88, 22,114.80 and 5,508.64 is: 8,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742.88 : 22,114.80 = 5,508.64 : x
  2. Step 2: Convert to fraction form
    14,742.88/22,114.80 = 5,508.64/x
  3. Step 3: Cross multiply
    14,742.88x = 22,114.80 × 5,508.64
  4. Step 4: Simplify right side
    14,742.88x = 121,822,471.87
  5. Step 5: Solve for x
    x = 121,822,471.87/14,742.88
  6. Step 6: Final answer
    x = 8,263.14

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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.