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Finding the Fourth Proportional to 22,538, 33,784.32 and 9,397.64

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Solution

The fourth proportional to 22,538, 33,784.32 and 9,397.64 is: 14,087.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538 : 33,784.32 = 9,397.64 : x
  2. Step 2: Convert to fraction form
    22,538/33,784.32 = 9,397.64/x
  3. Step 3: Cross multiply
    22,538x = 33,784.32 × 9,397.64
  4. Step 4: Simplify right side
    22,538x = 317,492,877.00
  5. Step 5: Solve for x
    x = 317,492,877.00/22,538
  6. Step 6: Final answer
    x = 14,087.00

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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.