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Finding the Fourth Proportional to 13,675.25, 20,514.86 and 4,312.10

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Solution

The fourth proportional to 13,675.25, 20,514.86 and 4,312.10 is: 6,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.25 : 20,514.86 = 4,312.10 : x
  2. Step 2: Convert to fraction form
    13,675.25/20,514.86 = 4,312.10/x
  3. Step 3: Cross multiply
    13,675.25x = 20,514.86 × 4,312.10
  4. Step 4: Simplify right side
    13,675.25x = 88,462,127.81
  5. Step 5: Solve for x
    x = 88,462,127.81/13,675.25
  6. Step 6: Final answer
    x = 6,468.78

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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.