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Finding the Fourth Proportional to 15,857.48, 23,786.22 and 6,617

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Solution

The fourth proportional to 15,857.48, 23,786.22 and 6,617 is: 9,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.48 : 23,786.22 = 6,617 : x
  2. Step 2: Convert to fraction form
    15,857.48/23,786.22 = 6,617/x
  3. Step 3: Cross multiply
    15,857.48x = 23,786.22 × 6,617
  4. Step 4: Simplify right side
    15,857.48x = 157,393,417.74
  5. Step 5: Solve for x
    x = 157,393,417.74/15,857.48
  6. Step 6: Final answer
    x = 9,925.50

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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.