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Finding the Fourth Proportional to 22,670, 34,009.86 and 9,533.42

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Solution

The fourth proportional to 22,670, 34,009.86 and 9,533.42 is: 14,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,670 : 34,009.86 = 9,533.42 : x
  2. Step 2: Convert to fraction form
    22,670/34,009.86 = 9,533.42/x
  3. Step 3: Cross multiply
    22,670x = 34,009.86 × 9,533.42
  4. Step 4: Simplify right side
    22,670x = 324,230,279.52
  5. Step 5: Solve for x
    x = 324,230,279.52/22,670
  6. Step 6: Final answer
    x = 14,302.17

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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.