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Finding the Fourth Proportional to 17,897.83, 24,699.13 and 10,822.88

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Solution

The fourth proportional to 17,897.83, 24,699.13 and 10,822.88 is: 14,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.83 : 24,699.13 = 10,822.88 : x
  2. Step 2: Convert to fraction form
    17,897.83/24,699.13 = 10,822.88/x
  3. Step 3: Cross multiply
    17,897.83x = 24,699.13 × 10,822.88
  4. Step 4: Simplify right side
    17,897.83x = 267,315,754.79
  5. Step 5: Solve for x
    x = 267,315,754.79/17,897.83
  6. Step 6: Final answer
    x = 14,935.65

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1.5x scale

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.