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Finding the Fourth Proportional to 21,871.46, 32,807.34 and 9,380.94

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Solution

The fourth proportional to 21,871.46, 32,807.34 and 9,380.94 is: 14,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.46 : 32,807.34 = 9,380.94 : x
  2. Step 2: Convert to fraction form
    21,871.46/32,807.34 = 9,380.94/x
  3. Step 3: Cross multiply
    21,871.46x = 32,807.34 × 9,380.94
  4. Step 4: Simplify right side
    21,871.46x = 307,763,688.10
  5. Step 5: Solve for x
    x = 307,763,688.10/21,871.46
  6. Step 6: Final answer
    x = 14,071.47

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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.