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Finding the Fourth Proportional to 22,894.40, 34,343.20 and 9,041.60

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Solution

The fourth proportional to 22,894.40, 34,343.20 and 9,041.60 is: 13,563.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.40 : 34,343.20 = 9,041.60 : x
  2. Step 2: Convert to fraction form
    22,894.40/34,343.20 = 9,041.60/x
  3. Step 3: Cross multiply
    22,894.40x = 34,343.20 × 9,041.60
  4. Step 4: Simplify right side
    22,894.40x = 310,517,477.12
  5. Step 5: Solve for x
    x = 310,517,477.12/22,894.40
  6. Step 6: Final answer
    x = 13,563.03

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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.