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Finding the Fourth Proportional to 22,065.72, 33,106.74 and 10,225.14

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Solution

The fourth proportional to 22,065.72, 33,106.74 and 10,225.14 is: 15,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,065.72 : 33,106.74 = 10,225.14 : x
  2. Step 2: Convert to fraction form
    22,065.72/33,106.74 = 10,225.14/x
  3. Step 3: Cross multiply
    22,065.72x = 33,106.74 × 10,225.14
  4. Step 4: Simplify right side
    22,065.72x = 338,521,051.44
  5. Step 5: Solve for x
    x = 338,521,051.44/22,065.72
  6. Step 6: Final answer
    x = 15,341.49

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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.