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Finding the Fourth Proportional to 22,160.16, 33,232.98 and 7,365

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Solution

The fourth proportional to 22,160.16, 33,232.98 and 7,365 is: 11,045.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,160.16 : 33,232.98 = 7,365 : x
  2. Step 2: Convert to fraction form
    22,160.16/33,232.98 = 7,365/x
  3. Step 3: Cross multiply
    22,160.16x = 33,232.98 × 7,365
  4. Step 4: Simplify right side
    22,160.16x = 244,760,897.70
  5. Step 5: Solve for x
    x = 244,760,897.70/22,160.16
  6. Step 6: Final answer
    x = 11,045.09

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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.