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Finding the Fourth Proportional to 22,886.17, 34,334.16 and 7,090.85

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Solution

The fourth proportional to 22,886.17, 34,334.16 and 7,090.85 is: 10,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886.17 : 34,334.16 = 7,090.85 : x
  2. Step 2: Convert to fraction form
    22,886.17/34,334.16 = 7,090.85/x
  3. Step 3: Cross multiply
    22,886.17x = 34,334.16 × 7,090.85
  4. Step 4: Simplify right side
    22,886.17x = 243,458,428.50
  5. Step 5: Solve for x
    x = 243,458,428.50/22,886.17
  6. Step 6: Final answer
    x = 10,637.80

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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.