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Finding the Fourth Proportional to 17,409.50, 24,025.14 and 9,957.50

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Solution

The fourth proportional to 17,409.50, 24,025.14 and 9,957.50 is: 13,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.50 : 24,025.14 = 9,957.50 : x
  2. Step 2: Convert to fraction form
    17,409.50/24,025.14 = 9,957.50/x
  3. Step 3: Cross multiply
    17,409.50x = 24,025.14 × 9,957.50
  4. Step 4: Simplify right side
    17,409.50x = 239,230,331.55
  5. Step 5: Solve for x
    x = 239,230,331.55/17,409.50
  6. Step 6: Final answer
    x = 13,741.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.