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Finding the Fourth Proportional to 21,470.67, 32,205.33 and 5,888.16

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Solution

The fourth proportional to 21,470.67, 32,205.33 and 5,888.16 is: 8,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,470.67 : 32,205.33 = 5,888.16 : x
  2. Step 2: Convert to fraction form
    21,470.67/32,205.33 = 5,888.16/x
  3. Step 3: Cross multiply
    21,470.67x = 32,205.33 × 5,888.16
  4. Step 4: Simplify right side
    21,470.67x = 189,630,135.89
  5. Step 5: Solve for x
    x = 189,630,135.89/21,470.67
  6. Step 6: Final answer
    x = 8,832.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.