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Finding the Fourth Proportional to 22,282.25, 30,749.51 and 13,330.13

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Solution

The fourth proportional to 22,282.25, 30,749.51 and 13,330.13 is: 18,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.25 : 30,749.51 = 13,330.13 : x
  2. Step 2: Convert to fraction form
    22,282.25/30,749.51 = 13,330.13/x
  3. Step 3: Cross multiply
    22,282.25x = 30,749.51 × 13,330.13
  4. Step 4: Simplify right side
    22,282.25x = 409,894,899.09
  5. Step 5: Solve for x
    x = 409,894,899.09/22,282.25
  6. Step 6: Final answer
    x = 18,395.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.