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Finding the Fourth Proportional to 15,019.84, 22,529.94 and 9,098.02

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Solution

The fourth proportional to 15,019.84, 22,529.94 and 9,098.02 is: 13,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,019.84 : 22,529.94 = 9,098.02 : x
  2. Step 2: Convert to fraction form
    15,019.84/22,529.94 = 9,098.02/x
  3. Step 3: Cross multiply
    15,019.84x = 22,529.94 × 9,098.02
  4. Step 4: Simplify right side
    15,019.84x = 204,977,844.72
  5. Step 5: Solve for x
    x = 204,977,844.72/15,019.84
  6. Step 6: Final answer
    x = 13,647.14

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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.