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Finding the Fourth Proportional to 18,925.83, 28,394.19 and 7,830.45

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Solution

The fourth proportional to 18,925.83, 28,394.19 and 7,830.45 is: 11,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,925.83 : 28,394.19 = 7,830.45 : x
  2. Step 2: Convert to fraction form
    18,925.83/28,394.19 = 7,830.45/x
  3. Step 3: Cross multiply
    18,925.83x = 28,394.19 × 7,830.45
  4. Step 4: Simplify right side
    18,925.83x = 222,339,285.09
  5. Step 5: Solve for x
    x = 222,339,285.09/18,925.83
  6. Step 6: Final answer
    x = 11,747.93

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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.