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Finding the Fourth Proportional to 27,077.76, 40,615.56 and 9,547.74

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Solution

The fourth proportional to 27,077.76, 40,615.56 and 9,547.74 is: 14,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,077.76 : 40,615.56 = 9,547.74 : x
  2. Step 2: Convert to fraction form
    27,077.76/40,615.56 = 9,547.74/x
  3. Step 3: Cross multiply
    27,077.76x = 40,615.56 × 9,547.74
  4. Step 4: Simplify right side
    27,077.76x = 387,786,806.83
  5. Step 5: Solve for x
    x = 387,786,806.83/27,077.76
  6. Step 6: Final answer
    x = 14,321.23

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