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Finding the Fourth Proportional to 22,360.77, 33,541.29 and 7,569.77

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Solution

The fourth proportional to 22,360.77, 33,541.29 and 7,569.77 is: 11,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,360.77 : 33,541.29 = 7,569.77 : x
  2. Step 2: Convert to fraction form
    22,360.77/33,541.29 = 7,569.77/x
  3. Step 3: Cross multiply
    22,360.77x = 33,541.29 × 7,569.77
  4. Step 4: Simplify right side
    22,360.77x = 253,899,683.10
  5. Step 5: Solve for x
    x = 253,899,683.10/22,360.77
  6. Step 6: Final answer
    x = 11,354.69

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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.