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Finding the Fourth Proportional to 19,574.16, 27,020.76 and 12,021.72

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Solution

The fourth proportional to 19,574.16, 27,020.76 and 12,021.72 is: 16,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.16 : 27,020.76 = 12,021.72 : x
  2. Step 2: Convert to fraction form
    19,574.16/27,020.76 = 12,021.72/x
  3. Step 3: Cross multiply
    19,574.16x = 27,020.76 × 12,021.72
  4. Step 4: Simplify right side
    19,574.16x = 324,836,010.91
  5. Step 5: Solve for x
    x = 324,836,010.91/19,574.16
  6. Step 6: Final answer
    x = 16,595.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.