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Finding the Fourth Proportional to 22,565.39, 31,142.93 and 13,133.94

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Solution

The fourth proportional to 22,565.39, 31,142.93 and 13,133.94 is: 18,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,565.39 : 31,142.93 = 13,133.94 : x
  2. Step 2: Convert to fraction form
    22,565.39/31,142.93 = 13,133.94/x
  3. Step 3: Cross multiply
    22,565.39x = 31,142.93 × 13,133.94
  4. Step 4: Simplify right side
    22,565.39x = 409,029,308.37
  5. Step 5: Solve for x
    x = 409,029,308.37/22,565.39
  6. Step 6: Final answer
    x = 18,126.41

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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.