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Finding the Fourth Proportional to 27,615.88, 41,430.39 and 8,897.68

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Solution

The fourth proportional to 27,615.88, 41,430.39 and 8,897.68 is: 13,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.88 : 41,430.39 = 8,897.68 : x
  2. Step 2: Convert to fraction form
    27,615.88/41,430.39 = 8,897.68/x
  3. Step 3: Cross multiply
    27,615.88x = 41,430.39 × 8,897.68
  4. Step 4: Simplify right side
    27,615.88x = 368,634,352.50
  5. Step 5: Solve for x
    x = 368,634,352.50/27,615.88
  6. Step 6: Final answer
    x = 13,348.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.