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Finding the Fourth Proportional to 24,857.56, 37,275.36 and 13,168

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Solution

The fourth proportional to 24,857.56, 37,275.36 and 13,168 is: 19,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.56 : 37,275.36 = 13,168 : x
  2. Step 2: Convert to fraction form
    24,857.56/37,275.36 = 13,168/x
  3. Step 3: Cross multiply
    24,857.56x = 37,275.36 × 13,168
  4. Step 4: Simplify right side
    24,857.56x = 490,841,940.48
  5. Step 5: Solve for x
    x = 490,841,940.48/24,857.56
  6. Step 6: Final answer
    x = 19,746.18

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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.