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Finding the Fourth Proportional to 15,849, 21,871.62 and 10,260

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Solution

The fourth proportional to 15,849, 21,871.62 and 10,260 is: 14,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,849 : 21,871.62 = 10,260 : x
  2. Step 2: Convert to fraction form
    15,849/21,871.62 = 10,260/x
  3. Step 3: Cross multiply
    15,849x = 21,871.62 × 10,260
  4. Step 4: Simplify right side
    15,849x = 224,402,821.20
  5. Step 5: Solve for x
    x = 224,402,821.20/15,849
  6. Step 6: Final answer
    x = 14,158.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.