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Finding the Fourth Proportional to 23,653.50, 32,642.06 and 13,043.49

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Solution

The fourth proportional to 23,653.50, 32,642.06 and 13,043.49 is: 18,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.50 : 32,642.06 = 13,043.49 : x
  2. Step 2: Convert to fraction form
    23,653.50/32,642.06 = 13,043.49/x
  3. Step 3: Cross multiply
    23,653.50x = 32,642.06 × 13,043.49
  4. Step 4: Simplify right side
    23,653.50x = 425,766,317.97
  5. Step 5: Solve for x
    x = 425,766,317.97/23,653.50
  6. Step 6: Final answer
    x = 18,000.14

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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.