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Finding the Fourth Proportional to 19,835.46, 29,727.03 and 9,303.84

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Solution

The fourth proportional to 19,835.46, 29,727.03 and 9,303.84 is: 13,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,835.46 : 29,727.03 = 9,303.84 : x
  2. Step 2: Convert to fraction form
    19,835.46/29,727.03 = 9,303.84/x
  3. Step 3: Cross multiply
    19,835.46x = 29,727.03 × 9,303.84
  4. Step 4: Simplify right side
    19,835.46x = 276,575,530.80
  5. Step 5: Solve for x
    x = 276,575,530.80/19,835.46
  6. Step 6: Final answer
    x = 13,943.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.