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Finding the Fourth Proportional to 21,631.16, 32,434.32 and 8,468.12

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Solution

The fourth proportional to 21,631.16, 32,434.32 and 8,468.12 is: 12,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,631.16 : 32,434.32 = 8,468.12 : x
  2. Step 2: Convert to fraction form
    21,631.16/32,434.32 = 8,468.12/x
  3. Step 3: Cross multiply
    21,631.16x = 32,434.32 × 8,468.12
  4. Step 4: Simplify right side
    21,631.16x = 274,657,713.88
  5. Step 5: Solve for x
    x = 274,657,713.88/21,631.16
  6. Step 6: Final answer
    x = 12,697.32

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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.