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Finding the Fourth Proportional to 12,909.06, 17,820.41 and 9,923.85

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Solution

The fourth proportional to 12,909.06, 17,820.41 and 9,923.85 is: 13,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.06 : 17,820.41 = 9,923.85 : x
  2. Step 2: Convert to fraction form
    12,909.06/17,820.41 = 9,923.85/x
  3. Step 3: Cross multiply
    12,909.06x = 17,820.41 × 9,923.85
  4. Step 4: Simplify right side
    12,909.06x = 176,847,026.16
  5. Step 5: Solve for x
    x = 176,847,026.16/12,909.06
  6. Step 6: Final answer
    x = 13,699.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.