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Finding the Fourth Proportional to 17,706.86, 24,435.28 and 9,748.90

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Solution

The fourth proportional to 17,706.86, 24,435.28 and 9,748.90 is: 13,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.86 : 24,435.28 = 9,748.90 : x
  2. Step 2: Convert to fraction form
    17,706.86/24,435.28 = 9,748.90/x
  3. Step 3: Cross multiply
    17,706.86x = 24,435.28 × 9,748.90
  4. Step 4: Simplify right side
    17,706.86x = 238,217,101.19
  5. Step 5: Solve for x
    x = 238,217,101.19/17,706.86
  6. Step 6: Final answer
    x = 13,453.38

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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.