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Finding the Fourth Proportional to 23,564.60, 35,320.98 and 9,706.04

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Solution

The fourth proportional to 23,564.60, 35,320.98 and 9,706.04 is: 14,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.60 : 35,320.98 = 9,706.04 : x
  2. Step 2: Convert to fraction form
    23,564.60/35,320.98 = 9,706.04/x
  3. Step 3: Cross multiply
    23,564.60x = 35,320.98 × 9,706.04
  4. Step 4: Simplify right side
    23,564.60x = 342,826,844.72
  5. Step 5: Solve for x
    x = 342,826,844.72/23,564.60
  6. Step 6: Final answer
    x = 14,548.38

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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.