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Finding the Fourth Proportional to 17,840.05, 24,619.73 and 9,774.14

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Solution

The fourth proportional to 17,840.05, 24,619.73 and 9,774.14 is: 13,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,840.05 : 24,619.73 = 9,774.14 : x
  2. Step 2: Convert to fraction form
    17,840.05/24,619.73 = 9,774.14/x
  3. Step 3: Cross multiply
    17,840.05x = 24,619.73 × 9,774.14
  4. Step 4: Simplify right side
    17,840.05x = 240,636,515.81
  5. Step 5: Solve for x
    x = 240,636,515.81/17,840.05
  6. Step 6: Final answer
    x = 13,488.56

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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.