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Finding the Fourth Proportional to 22,088.25, 33,137.51 and 11,564.00

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Solution

The fourth proportional to 22,088.25, 33,137.51 and 11,564.00 is: 17,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,088.25 : 33,137.51 = 11,564.00 : x
  2. Step 2: Convert to fraction form
    22,088.25/33,137.51 = 11,564.00/x
  3. Step 3: Cross multiply
    22,088.25x = 33,137.51 × 11,564.00
  4. Step 4: Simplify right side
    22,088.25x = 383,202,066.40
  5. Step 5: Solve for x
    x = 383,202,066.40/22,088.25
  6. Step 6: Final answer
    x = 17,348.68

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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.