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Finding the Fourth Proportional to 23,653.86, 32,641.11 and 13,043.22

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Solution

The fourth proportional to 23,653.86, 32,641.11 and 13,043.22 is: 17,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.86 : 32,641.11 = 13,043.22 : x
  2. Step 2: Convert to fraction form
    23,653.86/32,641.11 = 13,043.22/x
  3. Step 3: Cross multiply
    23,653.86x = 32,641.11 × 13,043.22
  4. Step 4: Simplify right side
    23,653.86x = 425,745,178.77
  5. Step 5: Solve for x
    x = 425,745,178.77/23,653.86
  6. Step 6: Final answer
    x = 17,998.97

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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.