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Finding the Fourth Proportional to 22,547.33, 33,829.03 and 10,066.24

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Solution

The fourth proportional to 22,547.33, 33,829.03 and 10,066.24 is: 15,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.33 : 33,829.03 = 10,066.24 : x
  2. Step 2: Convert to fraction form
    22,547.33/33,829.03 = 10,066.24/x
  3. Step 3: Cross multiply
    22,547.33x = 33,829.03 × 10,066.24
  4. Step 4: Simplify right side
    22,547.33x = 340,531,189.82
  5. Step 5: Solve for x
    x = 340,531,189.82/22,547.33
  6. Step 6: Final answer
    x = 15,102.95

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1.5x scale

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.