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Finding the Fourth Proportional to 13,407.38, 20,114.71 and 4,642.98

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Solution

The fourth proportional to 13,407.38, 20,114.71 and 4,642.98 is: 6,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.38 : 20,114.71 = 4,642.98 : x
  2. Step 2: Convert to fraction form
    13,407.38/20,114.71 = 4,642.98/x
  3. Step 3: Cross multiply
    13,407.38x = 20,114.71 × 4,642.98
  4. Step 4: Simplify right side
    13,407.38x = 93,392,196.24
  5. Step 5: Solve for x
    x = 93,392,196.24/13,407.38
  6. Step 6: Final answer
    x = 6,965.73

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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.