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Finding the Fourth Proportional to 27,398.56, 37,810 and 15,464.40

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Solution

The fourth proportional to 27,398.56, 37,810 and 15,464.40 is: 21,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398.56 : 37,810 = 15,464.40 : x
  2. Step 2: Convert to fraction form
    27,398.56/37,810 = 15,464.40/x
  3. Step 3: Cross multiply
    27,398.56x = 37,810 × 15,464.40
  4. Step 4: Simplify right side
    27,398.56x = 584,708,964
  5. Step 5: Solve for x
    x = 584,708,964/27,398.56
  6. Step 6: Final answer
    x = 21,340.86

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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.