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Finding the Fourth Proportional to 14,041.62, 21,047.85 and 5,718.06

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Solution

The fourth proportional to 14,041.62, 21,047.85 and 5,718.06 is: 8,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.62 : 21,047.85 = 5,718.06 : x
  2. Step 2: Convert to fraction form
    14,041.62/21,047.85 = 5,718.06/x
  3. Step 3: Cross multiply
    14,041.62x = 21,047.85 × 5,718.06
  4. Step 4: Simplify right side
    14,041.62x = 120,352,869.17
  5. Step 5: Solve for x
    x = 120,352,869.17/14,041.62
  6. Step 6: Final answer
    x = 8,571.15

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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.