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Finding the Fourth Proportional to 14,041.10, 21,061.61 and 5,719.16

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Solution

The fourth proportional to 14,041.10, 21,061.61 and 5,719.16 is: 8,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.10 : 21,061.61 = 5,719.16 : x
  2. Step 2: Convert to fraction form
    14,041.10/21,061.61 = 5,719.16/x
  3. Step 3: Cross multiply
    14,041.10x = 21,061.61 × 5,719.16
  4. Step 4: Simplify right side
    14,041.10x = 120,454,795.12
  5. Step 5: Solve for x
    x = 120,454,795.12/14,041.10
  6. Step 6: Final answer
    x = 8,578.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.