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Finding the Fourth Proportional to 17,973.82, 24,804.05 and 9,907.76

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Solution

The fourth proportional to 17,973.82, 24,804.05 and 9,907.76 is: 13,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973.82 : 24,804.05 = 9,907.76 : x
  2. Step 2: Convert to fraction form
    17,973.82/24,804.05 = 9,907.76/x
  3. Step 3: Cross multiply
    17,973.82x = 24,804.05 × 9,907.76
  4. Step 4: Simplify right side
    17,973.82x = 245,752,596.12
  5. Step 5: Solve for x
    x = 245,752,596.12/17,973.82
  6. Step 6: Final answer
    x = 13,672.81

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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.