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Finding the Fourth Proportional to 27,978.72, 38,610 and 15,403.20

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Solution

The fourth proportional to 27,978.72, 38,610 and 15,403.20 is: 21,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.72 : 38,610 = 15,403.20 : x
  2. Step 2: Convert to fraction form
    27,978.72/38,610 = 15,403.20/x
  3. Step 3: Cross multiply
    27,978.72x = 38,610 × 15,403.20
  4. Step 4: Simplify right side
    27,978.72x = 594,717,552
  5. Step 5: Solve for x
    x = 594,717,552/27,978.72
  6. Step 6: Final answer
    x = 21,256.07

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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.