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Finding the Fourth Proportional to 15,883.17, 23,832.49 and 6,526

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Solution

The fourth proportional to 15,883.17, 23,832.49 and 6,526 is: 9,792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.17 : 23,832.49 = 6,526 : x
  2. Step 2: Convert to fraction form
    15,883.17/23,832.49 = 6,526/x
  3. Step 3: Cross multiply
    15,883.17x = 23,832.49 × 6,526
  4. Step 4: Simplify right side
    15,883.17x = 155,530,829.74
  5. Step 5: Solve for x
    x = 155,530,829.74/15,883.17
  6. Step 6: Final answer
    x = 9,792.18

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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.