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Finding the Fourth Proportional to 17,706.28, 24,434.40 and 10,541.20

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Solution

The fourth proportional to 17,706.28, 24,434.40 and 10,541.20 is: 14,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.28 : 24,434.40 = 10,541.20 : x
  2. Step 2: Convert to fraction form
    17,706.28/24,434.40 = 10,541.20/x
  3. Step 3: Cross multiply
    17,706.28x = 24,434.40 × 10,541.20
  4. Step 4: Simplify right side
    17,706.28x = 257,567,897.28
  5. Step 5: Solve for x
    x = 257,567,897.28/17,706.28
  6. Step 6: Final answer
    x = 14,546.70

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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.