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Finding the Fourth Proportional to 10,038.69, 15,059.25 and 9,485.87

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Solution

The fourth proportional to 10,038.69, 15,059.25 and 9,485.87 is: 14,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.69 : 15,059.25 = 9,485.87 : x
  2. Step 2: Convert to fraction form
    10,038.69/15,059.25 = 9,485.87/x
  3. Step 3: Cross multiply
    10,038.69x = 15,059.25 × 9,485.87
  4. Step 4: Simplify right side
    10,038.69x = 142,850,012.50
  5. Step 5: Solve for x
    x = 142,850,012.50/10,038.69
  6. Step 6: Final answer
    x = 14,229.95

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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.