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Finding the Fourth Proportional to 22,639.64, 33,948.51 and 9,488.48

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Solution

The fourth proportional to 22,639.64, 33,948.51 and 9,488.48 is: 14,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,639.64 : 33,948.51 = 9,488.48 : x
  2. Step 2: Convert to fraction form
    22,639.64/33,948.51 = 9,488.48/x
  3. Step 3: Cross multiply
    22,639.64x = 33,948.51 × 9,488.48
  4. Step 4: Simplify right side
    22,639.64x = 322,119,588.42
  5. Step 5: Solve for x
    x = 322,119,588.42/22,639.64
  6. Step 6: Final answer
    x = 14,228.13

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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.