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Finding the Fourth Proportional to 22,765.64, 34,159.02 and 9,621.08

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Solution

The fourth proportional to 22,765.64, 34,159.02 and 9,621.08 is: 14,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.64 : 34,159.02 = 9,621.08 : x
  2. Step 2: Convert to fraction form
    22,765.64/34,159.02 = 9,621.08/x
  3. Step 3: Cross multiply
    22,765.64x = 34,159.02 × 9,621.08
  4. Step 4: Simplify right side
    22,765.64x = 328,646,664.14
  5. Step 5: Solve for x
    x = 328,646,664.14/22,765.64
  6. Step 6: Final answer
    x = 14,436.08

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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.