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Finding the Fourth Proportional to 21,977.91, 32,948.37 and 7,178.76

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Solution

The fourth proportional to 21,977.91, 32,948.37 and 7,178.76 is: 10,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.91 : 32,948.37 = 7,178.76 : x
  2. Step 2: Convert to fraction form
    21,977.91/32,948.37 = 7,178.76/x
  3. Step 3: Cross multiply
    21,977.91x = 32,948.37 × 7,178.76
  4. Step 4: Simplify right side
    21,977.91x = 236,528,440.62
  5. Step 5: Solve for x
    x = 236,528,440.62/21,977.91
  6. Step 6: Final answer
    x = 10,762.10

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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.