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Finding the Fourth Proportional to 17,897.69, 24,701.08 and 10,824.10

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Solution

The fourth proportional to 17,897.69, 24,701.08 and 10,824.10 is: 14,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.69 : 24,701.08 = 10,824.10 : x
  2. Step 2: Convert to fraction form
    17,897.69/24,701.08 = 10,824.10/x
  3. Step 3: Cross multiply
    17,897.69x = 24,701.08 × 10,824.10
  4. Step 4: Simplify right side
    17,897.69x = 267,366,960.03
  5. Step 5: Solve for x
    x = 267,366,960.03/17,897.69
  6. Step 6: Final answer
    x = 14,938.63

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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.