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Finding the Fourth Proportional to 21,165.30, 31,683.15 and 12,374.10

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Solution

The fourth proportional to 21,165.30, 31,683.15 and 12,374.10 is: 18,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165.30 : 31,683.15 = 12,374.10 : x
  2. Step 2: Convert to fraction form
    21,165.30/31,683.15 = 12,374.10/x
  3. Step 3: Cross multiply
    21,165.30x = 31,683.15 × 12,374.10
  4. Step 4: Simplify right side
    21,165.30x = 392,050,466.42
  5. Step 5: Solve for x
    x = 392,050,466.42/21,165.30
  6. Step 6: Final answer
    x = 18,523.27

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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.