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Finding the Fourth Proportional to 22,357.01, 33,543.72 and 9,210.51

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Solution

The fourth proportional to 22,357.01, 33,543.72 and 9,210.51 is: 13,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.01 : 33,543.72 = 9,210.51 : x
  2. Step 2: Convert to fraction form
    22,357.01/33,543.72 = 9,210.51/x
  3. Step 3: Cross multiply
    22,357.01x = 33,543.72 × 9,210.51
  4. Step 4: Simplify right side
    22,357.01x = 308,954,768.50
  5. Step 5: Solve for x
    x = 308,954,768.50/22,357.01
  6. Step 6: Final answer
    x = 13,819.14

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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.