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Finding the Fourth Proportional to 27,403.38, 37,813.32 and 15,465.96

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Solution

The fourth proportional to 27,403.38, 37,813.32 and 15,465.96 is: 21,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,403.38 : 37,813.32 = 15,465.96 : x
  2. Step 2: Convert to fraction form
    27,403.38/37,813.32 = 15,465.96/x
  3. Step 3: Cross multiply
    27,403.38x = 37,813.32 × 15,465.96
  4. Step 4: Simplify right side
    27,403.38x = 584,819,294.59
  5. Step 5: Solve for x
    x = 584,819,294.59/27,403.38
  6. Step 6: Final answer
    x = 21,341.14

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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.