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Finding the Fourth Proportional to 23,774.70, 32,809.06 and 13,165

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Solution

The fourth proportional to 23,774.70, 32,809.06 and 13,165 is: 18,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.70 : 32,809.06 = 13,165 : x
  2. Step 2: Convert to fraction form
    23,774.70/32,809.06 = 13,165/x
  3. Step 3: Cross multiply
    23,774.70x = 32,809.06 × 13,165
  4. Step 4: Simplify right side
    23,774.70x = 431,931,274.90
  5. Step 5: Solve for x
    x = 431,931,274.90/23,774.70
  6. Step 6: Final answer
    x = 18,167.69

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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.