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Finding the Fourth Proportional to 21,845.72, 32,757.06 and 9,527

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Solution

The fourth proportional to 21,845.72, 32,757.06 and 9,527 is: 14,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,845.72 : 32,757.06 = 9,527 : x
  2. Step 2: Convert to fraction form
    21,845.72/32,757.06 = 9,527/x
  3. Step 3: Cross multiply
    21,845.72x = 32,757.06 × 9,527
  4. Step 4: Simplify right side
    21,845.72x = 312,076,510.62
  5. Step 5: Solve for x
    x = 312,076,510.62/21,845.72
  6. Step 6: Final answer
    x = 14,285.48

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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.