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Finding the Fourth Proportional to 17,804.91, 24,570.95 and 9,847.42

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Solution

The fourth proportional to 17,804.91, 24,570.95 and 9,847.42 is: 13,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.91 : 24,570.95 = 9,847.42 : x
  2. Step 2: Convert to fraction form
    17,804.91/24,570.95 = 9,847.42/x
  3. Step 3: Cross multiply
    17,804.91x = 24,570.95 × 9,847.42
  4. Step 4: Simplify right side
    17,804.91x = 241,960,492.00
  5. Step 5: Solve for x
    x = 241,960,492.00/17,804.91
  6. Step 6: Final answer
    x = 13,589.53

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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.