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Finding the Fourth Proportional to 17,886.62, 24,683.02 and 9,820.26

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Solution

The fourth proportional to 17,886.62, 24,683.02 and 9,820.26 is: 13,551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886.62 : 24,683.02 = 9,820.26 : x
  2. Step 2: Convert to fraction form
    17,886.62/24,683.02 = 9,820.26/x
  3. Step 3: Cross multiply
    17,886.62x = 24,683.02 × 9,820.26
  4. Step 4: Simplify right side
    17,886.62x = 242,393,673.99
  5. Step 5: Solve for x
    x = 242,393,673.99/17,886.62
  6. Step 6: Final answer
    x = 13,551.68

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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.