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Finding the Fourth Proportional to 23,522.63, 35,276.52 and 7,725.06

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Solution

The fourth proportional to 23,522.63, 35,276.52 and 7,725.06 is: 11,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522.63 : 35,276.52 = 7,725.06 : x
  2. Step 2: Convert to fraction form
    23,522.63/35,276.52 = 7,725.06/x
  3. Step 3: Cross multiply
    23,522.63x = 35,276.52 × 7,725.06
  4. Step 4: Simplify right side
    23,522.63x = 272,513,194.97
  5. Step 5: Solve for x
    x = 272,513,194.97/23,522.63
  6. Step 6: Final answer
    x = 11,585.15

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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.