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Finding the Fourth Proportional to 23,258.31, 34,899.01 and 9,218.04

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Solution

The fourth proportional to 23,258.31, 34,899.01 and 9,218.04 is: 13,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.31 : 34,899.01 = 9,218.04 : x
  2. Step 2: Convert to fraction form
    23,258.31/34,899.01 = 9,218.04/x
  3. Step 3: Cross multiply
    23,258.31x = 34,899.01 × 9,218.04
  4. Step 4: Simplify right side
    23,258.31x = 321,700,528.27
  5. Step 5: Solve for x
    x = 321,700,528.27/23,258.31
  6. Step 6: Final answer
    x = 13,831.64

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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.