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Finding the Fourth Proportional to 13,838.42, 20,764.56 and 6,341.16

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Solution

The fourth proportional to 13,838.42, 20,764.56 and 6,341.16 is: 9,514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.42 : 20,764.56 = 6,341.16 : x
  2. Step 2: Convert to fraction form
    13,838.42/20,764.56 = 6,341.16/x
  3. Step 3: Cross multiply
    13,838.42x = 20,764.56 × 6,341.16
  4. Step 4: Simplify right side
    13,838.42x = 131,671,397.29
  5. Step 5: Solve for x
    x = 131,671,397.29/13,838.42
  6. Step 6: Final answer
    x = 9,514.92

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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.