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Finding the Fourth Proportional to 18,546.32, 25,585.80 and 11,090

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Solution

The fourth proportional to 18,546.32, 25,585.80 and 11,090 is: 15,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546.32 : 25,585.80 = 11,090 : x
  2. Step 2: Convert to fraction form
    18,546.32/25,585.80 = 11,090/x
  3. Step 3: Cross multiply
    18,546.32x = 25,585.80 × 11,090
  4. Step 4: Simplify right side
    18,546.32x = 283,746,522
  5. Step 5: Solve for x
    x = 283,746,522/18,546.32
  6. Step 6: Final answer
    x = 15,299.34

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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.