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Finding the Fourth Proportional to 21,394.64, 32,072.52 and 9,701.48

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Solution

The fourth proportional to 21,394.64, 32,072.52 and 9,701.48 is: 14,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394.64 : 32,072.52 = 9,701.48 : x
  2. Step 2: Convert to fraction form
    21,394.64/32,072.52 = 9,701.48/x
  3. Step 3: Cross multiply
    21,394.64x = 32,072.52 × 9,701.48
  4. Step 4: Simplify right side
    21,394.64x = 311,150,911.33
  5. Step 5: Solve for x
    x = 311,150,911.33/21,394.64
  6. Step 6: Final answer
    x = 14,543.40

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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.