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Finding the Fourth Proportional to 19,784.86, 27,303.45 and 12,231

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Solution

The fourth proportional to 19,784.86, 27,303.45 and 12,231 is: 16,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.86 : 27,303.45 = 12,231 : x
  2. Step 2: Convert to fraction form
    19,784.86/27,303.45 = 12,231/x
  3. Step 3: Cross multiply
    19,784.86x = 27,303.45 × 12,231
  4. Step 4: Simplify right side
    19,784.86x = 333,948,496.95
  5. Step 5: Solve for x
    x = 333,948,496.95/19,784.86
  6. Step 6: Final answer
    x = 16,878.99

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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.