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Finding the Fourth Proportional to 23,269.58, 32,094.80 and 14,764.38

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Solution

The fourth proportional to 23,269.58, 32,094.80 and 14,764.38 is: 20,363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,269.58 : 32,094.80 = 14,764.38 : x
  2. Step 2: Convert to fraction form
    23,269.58/32,094.80 = 14,764.38/x
  3. Step 3: Cross multiply
    23,269.58x = 32,094.80 × 14,764.38
  4. Step 4: Simplify right side
    23,269.58x = 473,859,823.22
  5. Step 5: Solve for x
    x = 473,859,823.22/23,269.58
  6. Step 6: Final answer
    x = 20,363.92

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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.