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Finding the Fourth Proportional to 17,842.77, 24,621.03 and 9,883.02

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Solution

The fourth proportional to 17,842.77, 24,621.03 and 9,883.02 is: 13,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.77 : 24,621.03 = 9,883.02 : x
  2. Step 2: Convert to fraction form
    17,842.77/24,621.03 = 9,883.02/x
  3. Step 3: Cross multiply
    17,842.77x = 24,621.03 × 9,883.02
  4. Step 4: Simplify right side
    17,842.77x = 243,330,131.91
  5. Step 5: Solve for x
    x = 243,330,131.91/17,842.77
  6. Step 6: Final answer
    x = 13,637.46

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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.