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Finding the Fourth Proportional to 23,389.64, 35,073.09 and 7,802

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Solution

The fourth proportional to 23,389.64, 35,073.09 and 7,802 is: 11,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,389.64 : 35,073.09 = 7,802 : x
  2. Step 2: Convert to fraction form
    23,389.64/35,073.09 = 7,802/x
  3. Step 3: Cross multiply
    23,389.64x = 35,073.09 × 7,802
  4. Step 4: Simplify right side
    23,389.64x = 273,640,248.18
  5. Step 5: Solve for x
    x = 273,640,248.18/23,389.64
  6. Step 6: Final answer
    x = 11,699.21

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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.