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Finding the Fourth Proportional to 22,454, 33,681.02 and 6,038

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Solution

The fourth proportional to 22,454, 33,681.02 and 6,038 is: 9,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,454 : 33,681.02 = 6,038 : x
  2. Step 2: Convert to fraction form
    22,454/33,681.02 = 6,038/x
  3. Step 3: Cross multiply
    22,454x = 33,681.02 × 6,038
  4. Step 4: Simplify right side
    22,454x = 203,365,998.76
  5. Step 5: Solve for x
    x = 203,365,998.76/22,454
  6. Step 6: Final answer
    x = 9,057.01

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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.