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Finding the Fourth Proportional to 17,782.01, 24,538.70 and 9,822.95

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Solution

The fourth proportional to 17,782.01, 24,538.70 and 9,822.95 is: 13,555.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.01 : 24,538.70 = 9,822.95 : x
  2. Step 2: Convert to fraction form
    17,782.01/24,538.70 = 9,822.95/x
  3. Step 3: Cross multiply
    17,782.01x = 24,538.70 × 9,822.95
  4. Step 4: Simplify right side
    17,782.01x = 241,042,423.17
  5. Step 5: Solve for x
    x = 241,042,423.17/17,782.01
  6. Step 6: Final answer
    x = 13,555.41

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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.