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Finding the Fourth Proportional to 23,205.72, 32,023.71 and 12,595.36

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Solution

The fourth proportional to 23,205.72, 32,023.71 and 12,595.36 is: 17,381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.72 : 32,023.71 = 12,595.36 : x
  2. Step 2: Convert to fraction form
    23,205.72/32,023.71 = 12,595.36/x
  3. Step 3: Cross multiply
    23,205.72x = 32,023.71 × 12,595.36
  4. Step 4: Simplify right side
    23,205.72x = 403,350,155.99
  5. Step 5: Solve for x
    x = 403,350,155.99/23,205.72
  6. Step 6: Final answer
    x = 17,381.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.