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Finding the Fourth Proportional to 19,830.60, 29,736.20 and 9,823.76

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Solution

The fourth proportional to 19,830.60, 29,736.20 and 9,823.76 is: 14,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.60 : 29,736.20 = 9,823.76 : x
  2. Step 2: Convert to fraction form
    19,830.60/29,736.20 = 9,823.76/x
  3. Step 3: Cross multiply
    19,830.60x = 29,736.20 × 9,823.76
  4. Step 4: Simplify right side
    19,830.60x = 292,121,292.11
  5. Step 5: Solve for x
    x = 292,121,292.11/19,830.60
  6. Step 6: Final answer
    x = 14,730.83

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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.