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Finding the Fourth Proportional to 15,717.16, 23,570.94 and 6,481

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Solution

The fourth proportional to 15,717.16, 23,570.94 and 6,481 is: 9,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717.16 : 23,570.94 = 6,481 : x
  2. Step 2: Convert to fraction form
    15,717.16/23,570.94 = 6,481/x
  3. Step 3: Cross multiply
    15,717.16x = 23,570.94 × 6,481
  4. Step 4: Simplify right side
    15,717.16x = 152,763,262.14
  5. Step 5: Solve for x
    x = 152,763,262.14/15,717.16
  6. Step 6: Final answer
    x = 9,719.52

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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.