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Finding the Fourth Proportional to 15,502.54, 21,394.38 and 8,428.81

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Solution

The fourth proportional to 15,502.54, 21,394.38 and 8,428.81 is: 11,632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.54 : 21,394.38 = 8,428.81 : x
  2. Step 2: Convert to fraction form
    15,502.54/21,394.38 = 8,428.81/x
  3. Step 3: Cross multiply
    15,502.54x = 21,394.38 × 8,428.81
  4. Step 4: Simplify right side
    15,502.54x = 180,329,164.09
  5. Step 5: Solve for x
    x = 180,329,164.09/15,502.54
  6. Step 6: Final answer
    x = 11,632.23

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Why These Related Problems?

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