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Finding the Fourth Proportional to 21,312.42, 31,968.93 and 8,165.46

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Solution

The fourth proportional to 21,312.42, 31,968.93 and 8,165.46 is: 12,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312.42 : 31,968.93 = 8,165.46 : x
  2. Step 2: Convert to fraction form
    21,312.42/31,968.93 = 8,165.46/x
  3. Step 3: Cross multiply
    21,312.42x = 31,968.93 × 8,165.46
  4. Step 4: Simplify right side
    21,312.42x = 261,041,019.16
  5. Step 5: Solve for x
    x = 261,041,019.16/21,312.42
  6. Step 6: Final answer
    x = 12,248.30

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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.