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Finding the Fourth Proportional to 21,633.16, 32,437.32 and 8,470.12

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Solution

The fourth proportional to 21,633.16, 32,437.32 and 8,470.12 is: 12,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.16 : 32,437.32 = 8,470.12 : x
  2. Step 2: Convert to fraction form
    21,633.16/32,437.32 = 8,470.12/x
  3. Step 3: Cross multiply
    21,633.16x = 32,437.32 × 8,470.12
  4. Step 4: Simplify right side
    21,633.16x = 274,747,992.88
  5. Step 5: Solve for x
    x = 274,747,992.88/21,633.16
  6. Step 6: Final answer
    x = 12,700.32

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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.