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Finding the Fourth Proportional to 23,677.50, 35,516.52 and 7,037.10

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Solution

The fourth proportional to 23,677.50, 35,516.52 and 7,037.10 is: 10,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.50 : 35,516.52 = 7,037.10 : x
  2. Step 2: Convert to fraction form
    23,677.50/35,516.52 = 7,037.10/x
  3. Step 3: Cross multiply
    23,677.50x = 35,516.52 × 7,037.10
  4. Step 4: Simplify right side
    23,677.50x = 249,933,302.89
  5. Step 5: Solve for x
    x = 249,933,302.89/23,677.50
  6. Step 6: Final answer
    x = 10,555.73

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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.