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Finding the Fourth Proportional to 14,420.16, 19,899.05 and 8,132.13

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Solution

The fourth proportional to 14,420.16, 19,899.05 and 8,132.13 is: 11,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.16 : 19,899.05 = 8,132.13 : x
  2. Step 2: Convert to fraction form
    14,420.16/19,899.05 = 8,132.13/x
  3. Step 3: Cross multiply
    14,420.16x = 19,899.05 × 8,132.13
  4. Step 4: Simplify right side
    14,420.16x = 161,821,661.48
  5. Step 5: Solve for x
    x = 161,821,661.48/14,420.16
  6. Step 6: Final answer
    x = 11,221.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.