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Finding the Fourth Proportional to 22,583.06, 33,878.40 and 7,788.02

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Solution

The fourth proportional to 22,583.06, 33,878.40 and 7,788.02 is: 11,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583.06 : 33,878.40 = 7,788.02 : x
  2. Step 2: Convert to fraction form
    22,583.06/33,878.40 = 7,788.02/x
  3. Step 3: Cross multiply
    22,583.06x = 33,878.40 × 7,788.02
  4. Step 4: Simplify right side
    22,583.06x = 263,845,656.77
  5. Step 5: Solve for x
    x = 263,845,656.77/22,583.06
  6. Step 6: Final answer
    x = 11,683.34

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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.