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Finding the Fourth Proportional to 16,258, 22,436.04 and 9,635.28

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Solution

The fourth proportional to 16,258, 22,436.04 and 9,635.28 is: 13,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258 : 22,436.04 = 9,635.28 : x
  2. Step 2: Convert to fraction form
    16,258/22,436.04 = 9,635.28/x
  3. Step 3: Cross multiply
    16,258x = 22,436.04 × 9,635.28
  4. Step 4: Simplify right side
    16,258x = 216,177,527.49
  5. Step 5: Solve for x
    x = 216,177,527.49/16,258
  6. Step 6: Final answer
    x = 13,296.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.