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Finding the Fourth Proportional to 23,624.57, 35,431.98 and 10,468.55

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Solution

The fourth proportional to 23,624.57, 35,431.98 and 10,468.55 is: 15,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.57 : 35,431.98 = 10,468.55 : x
  2. Step 2: Convert to fraction form
    23,624.57/35,431.98 = 10,468.55/x
  3. Step 3: Cross multiply
    23,624.57x = 35,431.98 × 10,468.55
  4. Step 4: Simplify right side
    23,624.57x = 370,921,277.07
  5. Step 5: Solve for x
    x = 370,921,277.07/23,624.57
  6. Step 6: Final answer
    x = 15,700.66

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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.