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Finding the Fourth Proportional to 22,605, 33,901.02 and 9,457.08

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Solution

The fourth proportional to 22,605, 33,901.02 and 9,457.08 is: 14,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605 : 33,901.02 = 9,457.08 : x
  2. Step 2: Convert to fraction form
    22,605/33,901.02 = 9,457.08/x
  3. Step 3: Cross multiply
    22,605x = 33,901.02 × 9,457.08
  4. Step 4: Simplify right side
    22,605x = 320,604,658.22
  5. Step 5: Solve for x
    x = 320,604,658.22/22,605
  6. Step 6: Final answer
    x = 14,182.91

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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.