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Finding the Fourth Proportional to 16,026.16, 24,042.01 and 7,144.65

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Solution

The fourth proportional to 16,026.16, 24,042.01 and 7,144.65 is: 10,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026.16 : 24,042.01 = 7,144.65 : x
  2. Step 2: Convert to fraction form
    16,026.16/24,042.01 = 7,144.65/x
  3. Step 3: Cross multiply
    16,026.16x = 24,042.01 × 7,144.65
  4. Step 4: Simplify right side
    16,026.16x = 171,771,746.75
  5. Step 5: Solve for x
    x = 171,771,746.75/16,026.16
  6. Step 6: Final answer
    x = 10,718.21

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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.