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Finding the Fourth Proportional to 21,574.38, 32,391.54 and 14,226.06

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Solution

The fourth proportional to 21,574.38, 32,391.54 and 14,226.06 is: 21,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.38 : 32,391.54 = 14,226.06 : x
  2. Step 2: Convert to fraction form
    21,574.38/32,391.54 = 14,226.06/x
  3. Step 3: Cross multiply
    21,574.38x = 32,391.54 × 14,226.06
  4. Step 4: Simplify right side
    21,574.38x = 460,803,991.53
  5. Step 5: Solve for x
    x = 460,803,991.53/21,574.38
  6. Step 6: Final answer
    x = 21,358.85

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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.