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Finding the Fourth Proportional to 17,281.98, 23,849.67 and 9,830.46

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Solution

The fourth proportional to 17,281.98, 23,849.67 and 9,830.46 is: 13,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281.98 : 23,849.67 = 9,830.46 : x
  2. Step 2: Convert to fraction form
    17,281.98/23,849.67 = 9,830.46/x
  3. Step 3: Cross multiply
    17,281.98x = 23,849.67 × 9,830.46
  4. Step 4: Simplify right side
    17,281.98x = 234,453,226.95
  5. Step 5: Solve for x
    x = 234,453,226.95/17,281.98
  6. Step 6: Final answer
    x = 13,566.34

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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.