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Finding the Fourth Proportional to 23,689.59, 35,503.57 and 9,633.23

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Solution

The fourth proportional to 23,689.59, 35,503.57 and 9,633.23 is: 14,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.59 : 35,503.57 = 9,633.23 : x
  2. Step 2: Convert to fraction form
    23,689.59/35,503.57 = 9,633.23/x
  3. Step 3: Cross multiply
    23,689.59x = 35,503.57 × 9,633.23
  4. Step 4: Simplify right side
    23,689.59x = 342,013,969.11
  5. Step 5: Solve for x
    x = 342,013,969.11/23,689.59
  6. Step 6: Final answer
    x = 14,437.31

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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.