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Finding the Fourth Proportional to 17,875.42, 24,671.04 and 9,920.22

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Solution

The fourth proportional to 17,875.42, 24,671.04 and 9,920.22 is: 13,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.42 : 24,671.04 = 9,920.22 : x
  2. Step 2: Convert to fraction form
    17,875.42/24,671.04 = 9,920.22/x
  3. Step 3: Cross multiply
    17,875.42x = 24,671.04 × 9,920.22
  4. Step 4: Simplify right side
    17,875.42x = 244,742,144.43
  5. Step 5: Solve for x
    x = 244,742,144.43/17,875.42
  6. Step 6: Final answer
    x = 13,691.55

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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.