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Finding the Fourth Proportional to 22,582.04, 33,894.07 and 11,497.02

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Solution

The fourth proportional to 22,582.04, 33,894.07 and 11,497.02 is: 17,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.04 : 33,894.07 = 11,497.02 : x
  2. Step 2: Convert to fraction form
    22,582.04/33,894.07 = 11,497.02/x
  3. Step 3: Cross multiply
    22,582.04x = 33,894.07 × 11,497.02
  4. Step 4: Simplify right side
    22,582.04x = 389,680,800.67
  5. Step 5: Solve for x
    x = 389,680,800.67/22,582.04
  6. Step 6: Final answer
    x = 17,256.23

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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.