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Finding the Fourth Proportional to 24,707.78, 37,062.13 and 8,914.00

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Solution

The fourth proportional to 24,707.78, 37,062.13 and 8,914.00 is: 13,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707.78 : 37,062.13 = 8,914.00 : x
  2. Step 2: Convert to fraction form
    24,707.78/37,062.13 = 8,914.00/x
  3. Step 3: Cross multiply
    24,707.78x = 37,062.13 × 8,914.00
  4. Step 4: Simplify right side
    24,707.78x = 330,371,752.23
  5. Step 5: Solve for x
    x = 330,371,752.23/24,707.78
  6. Step 6: Final answer
    x = 13,371.16

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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.