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Finding the Fourth Proportional to 14,595.75, 20,142.16 and 8,308.13

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Solution

The fourth proportional to 14,595.75, 20,142.16 and 8,308.13 is: 11,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595.75 : 20,142.16 = 8,308.13 : x
  2. Step 2: Convert to fraction form
    14,595.75/20,142.16 = 8,308.13/x
  3. Step 3: Cross multiply
    14,595.75x = 20,142.16 × 8,308.13
  4. Step 4: Simplify right side
    14,595.75x = 167,343,562.28
  5. Step 5: Solve for x
    x = 167,343,562.28/14,595.75
  6. Step 6: Final answer
    x = 11,465.23

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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.