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Finding the Fourth Proportional to 21,627.57, 32,415.88 and 9,767.47

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Solution

The fourth proportional to 21,627.57, 32,415.88 and 9,767.47 is: 14,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,627.57 : 32,415.88 = 9,767.47 : x
  2. Step 2: Convert to fraction form
    21,627.57/32,415.88 = 9,767.47/x
  3. Step 3: Cross multiply
    21,627.57x = 32,415.88 × 9,767.47
  4. Step 4: Simplify right side
    21,627.57x = 316,621,109.06
  5. Step 5: Solve for x
    x = 316,621,109.06/21,627.57
  6. Step 6: Final answer
    x = 14,639.70

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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.