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Finding the Fourth Proportional to 29,900.24, 44,855.16 and 9,122

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Solution

The fourth proportional to 29,900.24, 44,855.16 and 9,122 is: 13,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,900.24 : 44,855.16 = 9,122 : x
  2. Step 2: Convert to fraction form
    29,900.24/44,855.16 = 9,122/x
  3. Step 3: Cross multiply
    29,900.24x = 44,855.16 × 9,122
  4. Step 4: Simplify right side
    29,900.24x = 409,168,769.52
  5. Step 5: Solve for x
    x = 409,168,769.52/29,900.24
  6. Step 6: Final answer
    x = 13,684.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.