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Finding the Fourth Proportional to 22,858, 34,274.04 and 9,515.60

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Solution

The fourth proportional to 22,858, 34,274.04 and 9,515.60 is: 14,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858 : 34,274.04 = 9,515.60 : x
  2. Step 2: Convert to fraction form
    22,858/34,274.04 = 9,515.60/x
  3. Step 3: Cross multiply
    22,858x = 34,274.04 × 9,515.60
  4. Step 4: Simplify right side
    22,858x = 326,138,055.02
  5. Step 5: Solve for x
    x = 326,138,055.02/22,858
  6. Step 6: Final answer
    x = 14,268.00

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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.