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Finding the Fourth Proportional to 17,782.45, 24,538.88 and 9,823.13

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Solution

The fourth proportional to 17,782.45, 24,538.88 and 9,823.13 is: 13,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.45 : 24,538.88 = 9,823.13 : x
  2. Step 2: Convert to fraction form
    17,782.45/24,538.88 = 9,823.13/x
  3. Step 3: Cross multiply
    17,782.45x = 24,538.88 × 9,823.13
  4. Step 4: Simplify right side
    17,782.45x = 241,048,559.18
  5. Step 5: Solve for x
    x = 241,048,559.18/17,782.45
  6. Step 6: Final answer
    x = 13,555.42

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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.