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Finding the Fourth Proportional to 13,328.38, 20,005.53 and 6,407.74

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Solution

The fourth proportional to 13,328.38, 20,005.53 and 6,407.74 is: 9,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,328.38 : 20,005.53 = 6,407.74 : x
  2. Step 2: Convert to fraction form
    13,328.38/20,005.53 = 6,407.74/x
  3. Step 3: Cross multiply
    13,328.38x = 20,005.53 × 6,407.74
  4. Step 4: Simplify right side
    13,328.38x = 128,190,234.80
  5. Step 5: Solve for x
    x = 128,190,234.80/13,328.38
  6. Step 6: Final answer
    x = 9,617.84

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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.