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Finding the Fourth Proportional to 22,005.60, 33,032.70 and 12,164.10

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Solution

The fourth proportional to 22,005.60, 33,032.70 and 12,164.10 is: 18,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005.60 : 33,032.70 = 12,164.10 : x
  2. Step 2: Convert to fraction form
    22,005.60/33,032.70 = 12,164.10/x
  3. Step 3: Cross multiply
    22,005.60x = 33,032.70 × 12,164.10
  4. Step 4: Simplify right side
    22,005.60x = 401,813,066.07
  5. Step 5: Solve for x
    x = 401,813,066.07/22,005.60
  6. Step 6: Final answer
    x = 18,259.58

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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.