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Finding the Fourth Proportional to 12,341.64, 18,514.80 and 4,020.96

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Solution

The fourth proportional to 12,341.64, 18,514.80 and 4,020.96 is: 6,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.64 : 18,514.80 = 4,020.96 : x
  2. Step 2: Convert to fraction form
    12,341.64/18,514.80 = 4,020.96/x
  3. Step 3: Cross multiply
    12,341.64x = 18,514.80 × 4,020.96
  4. Step 4: Simplify right side
    12,341.64x = 74,447,270.21
  5. Step 5: Solve for x
    x = 74,447,270.21/12,341.64
  6. Step 6: Final answer
    x = 6,032.20

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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.