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Finding the Fourth Proportional to 27,513.72, 37,966.86 and 15,574.32

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Solution

The fourth proportional to 27,513.72, 37,966.86 and 15,574.32 is: 21,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513.72 : 37,966.86 = 15,574.32 : x
  2. Step 2: Convert to fraction form
    27,513.72/37,966.86 = 15,574.32/x
  3. Step 3: Cross multiply
    27,513.72x = 37,966.86 × 15,574.32
  4. Step 4: Simplify right side
    27,513.72x = 591,308,027.04
  5. Step 5: Solve for x
    x = 591,308,027.04/27,513.72
  6. Step 6: Final answer
    x = 21,491.39

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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.