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Finding the Fourth Proportional to 17,681.83, 24,400.44 and 9,724.05

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Solution

The fourth proportional to 17,681.83, 24,400.44 and 9,724.05 is: 13,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.83 : 24,400.44 = 9,724.05 : x
  2. Step 2: Convert to fraction form
    17,681.83/24,400.44 = 9,724.05/x
  3. Step 3: Cross multiply
    17,681.83x = 24,400.44 × 9,724.05
  4. Step 4: Simplify right side
    17,681.83x = 237,271,145.02
  5. Step 5: Solve for x
    x = 237,271,145.02/17,681.83
  6. Step 6: Final answer
    x = 13,418.93

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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.