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Finding the Fourth Proportional to 14,114.65, 19,480.76 and 8,145.49

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Solution

The fourth proportional to 14,114.65, 19,480.76 and 8,145.49 is: 11,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.65 : 19,480.76 = 8,145.49 : x
  2. Step 2: Convert to fraction form
    14,114.65/19,480.76 = 8,145.49/x
  3. Step 3: Cross multiply
    14,114.65x = 19,480.76 × 8,145.49
  4. Step 4: Simplify right side
    14,114.65x = 158,680,335.77
  5. Step 5: Solve for x
    x = 158,680,335.77/14,114.65
  6. Step 6: Final answer
    x = 11,242.24

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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.