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Finding the Fourth Proportional to 23,689.68, 35,503.74 and 9,633.35

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Solution

The fourth proportional to 23,689.68, 35,503.74 and 9,633.35 is: 14,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.68 : 35,503.74 = 9,633.35 : x
  2. Step 2: Convert to fraction form
    23,689.68/35,503.74 = 9,633.35/x
  3. Step 3: Cross multiply
    23,689.68x = 35,503.74 × 9,633.35
  4. Step 4: Simplify right side
    23,689.68x = 342,019,776.21
  5. Step 5: Solve for x
    x = 342,019,776.21/23,689.68
  6. Step 6: Final answer
    x = 14,437.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.