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Finding the Fourth Proportional to 22,045.18, 33,071.93 and 7,264.50

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Solution

The fourth proportional to 22,045.18, 33,071.93 and 7,264.50 is: 10,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,045.18 : 33,071.93 = 7,264.50 : x
  2. Step 2: Convert to fraction form
    22,045.18/33,071.93 = 7,264.50/x
  3. Step 3: Cross multiply
    22,045.18x = 33,071.93 × 7,264.50
  4. Step 4: Simplify right side
    22,045.18x = 240,251,035.49
  5. Step 5: Solve for x
    x = 240,251,035.49/22,045.18
  6. Step 6: Final answer
    x = 10,898.12

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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.