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Finding the Fourth Proportional to 17,807.07, 24,572.76 and 9,739.12

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Solution

The fourth proportional to 17,807.07, 24,572.76 and 9,739.12 is: 13,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.07 : 24,572.76 = 9,739.12 : x
  2. Step 2: Convert to fraction form
    17,807.07/24,572.76 = 9,739.12/x
  3. Step 3: Cross multiply
    17,807.07x = 24,572.76 × 9,739.12
  4. Step 4: Simplify right side
    17,807.07x = 239,317,058.37
  5. Step 5: Solve for x
    x = 239,317,058.37/17,807.07
  6. Step 6: Final answer
    x = 13,439.44

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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.