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Finding the Fourth Proportional to 12,019.83, 16,574.63 and 8,248.50

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Solution

The fourth proportional to 12,019.83, 16,574.63 and 8,248.50 is: 11,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.83 : 16,574.63 = 8,248.50 : x
  2. Step 2: Convert to fraction form
    12,019.83/16,574.63 = 8,248.50/x
  3. Step 3: Cross multiply
    12,019.83x = 16,574.63 × 8,248.50
  4. Step 4: Simplify right side
    12,019.83x = 136,715,711.44
  5. Step 5: Solve for x
    x = 136,715,711.44/12,019.83
  6. Step 6: Final answer
    x = 11,374.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.