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Finding the Fourth Proportional to 19,023.09, 28,493.03 and 9,646.95

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Solution

The fourth proportional to 19,023.09, 28,493.03 and 9,646.95 is: 14,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,023.09 : 28,493.03 = 9,646.95 : x
  2. Step 2: Convert to fraction form
    19,023.09/28,493.03 = 9,646.95/x
  3. Step 3: Cross multiply
    19,023.09x = 28,493.03 × 9,646.95
  4. Step 4: Simplify right side
    19,023.09x = 274,870,787.52
  5. Step 5: Solve for x
    x = 274,870,787.52/19,023.09
  6. Step 6: Final answer
    x = 14,449.32

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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.