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Finding the Fourth Proportional to 17,842.01, 24,621.64 and 9,884.06

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Solution

The fourth proportional to 17,842.01, 24,621.64 and 9,884.06 is: 13,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.01 : 24,621.64 = 9,884.06 : x
  2. Step 2: Convert to fraction form
    17,842.01/24,621.64 = 9,884.06/x
  3. Step 3: Cross multiply
    17,842.01x = 24,621.64 × 9,884.06
  4. Step 4: Simplify right side
    17,842.01x = 243,361,619.24
  5. Step 5: Solve for x
    x = 243,361,619.24/17,842.01
  6. Step 6: Final answer
    x = 13,639.81

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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.