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Finding the Fourth Proportional to 17,918.24, 24,727.28 and 9,852.02

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Solution

The fourth proportional to 17,918.24, 24,727.28 and 9,852.02 is: 13,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,918.24 : 24,727.28 = 9,852.02 : x
  2. Step 2: Convert to fraction form
    17,918.24/24,727.28 = 9,852.02/x
  3. Step 3: Cross multiply
    17,918.24x = 24,727.28 × 9,852.02
  4. Step 4: Simplify right side
    17,918.24x = 243,613,657.11
  5. Step 5: Solve for x
    x = 243,613,657.11/17,918.24
  6. Step 6: Final answer
    x = 13,595.85

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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.