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Finding the Fourth Proportional to 19,575.30, 29,340.18 and 9,720.84

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Solution

The fourth proportional to 19,575.30, 29,340.18 and 9,720.84 is: 14,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,575.30 : 29,340.18 = 9,720.84 : x
  2. Step 2: Convert to fraction form
    19,575.30/29,340.18 = 9,720.84/x
  3. Step 3: Cross multiply
    19,575.30x = 29,340.18 × 9,720.84
  4. Step 4: Simplify right side
    19,575.30x = 285,211,195.35
  5. Step 5: Solve for x
    x = 285,211,195.35/19,575.30
  6. Step 6: Final answer
    x = 14,569.95

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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.