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Finding the Fourth Proportional to 23,563.60, 35,319.48 and 9,705.04

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Solution

The fourth proportional to 23,563.60, 35,319.48 and 9,705.04 is: 14,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.60 : 35,319.48 = 9,705.04 : x
  2. Step 2: Convert to fraction form
    23,563.60/35,319.48 = 9,705.04/x
  3. Step 3: Cross multiply
    23,563.60x = 35,319.48 × 9,705.04
  4. Step 4: Simplify right side
    23,563.60x = 342,776,966.18
  5. Step 5: Solve for x
    x = 342,776,966.18/23,563.60
  6. Step 6: Final answer
    x = 14,546.88

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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.