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Finding the Fourth Proportional to 14,575.16, 21,864 and 5,214.20

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Solution

The fourth proportional to 14,575.16, 21,864 and 5,214.20 is: 7,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.16 : 21,864 = 5,214.20 : x
  2. Step 2: Convert to fraction form
    14,575.16/21,864 = 5,214.20/x
  3. Step 3: Cross multiply
    14,575.16x = 21,864 × 5,214.20
  4. Step 4: Simplify right side
    14,575.16x = 114,003,268.80
  5. Step 5: Solve for x
    x = 114,003,268.80/14,575.16
  6. Step 6: Final answer
    x = 7,821.75

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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.