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Finding the Fourth Proportional to 22,583.64, 33,875.46 and 9,428.85

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Solution

The fourth proportional to 22,583.64, 33,875.46 and 9,428.85 is: 14,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583.64 : 33,875.46 = 9,428.85 : x
  2. Step 2: Convert to fraction form
    22,583.64/33,875.46 = 9,428.85/x
  3. Step 3: Cross multiply
    22,583.64x = 33,875.46 × 9,428.85
  4. Step 4: Simplify right side
    22,583.64x = 319,406,631.02
  5. Step 5: Solve for x
    x = 319,406,631.02/22,583.64
  6. Step 6: Final answer
    x = 14,143.28

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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.