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Finding the Fourth Proportional to 12,809.71, 19,087.22 and 11,412.31

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Solution

The fourth proportional to 12,809.71, 19,087.22 and 11,412.31 is: 17,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.71 : 19,087.22 = 11,412.31 : x
  2. Step 2: Convert to fraction form
    12,809.71/19,087.22 = 11,412.31/x
  3. Step 3: Cross multiply
    12,809.71x = 19,087.22 × 11,412.31
  4. Step 4: Simplify right side
    12,809.71x = 217,829,214.37
  5. Step 5: Solve for x
    x = 217,829,214.37/12,809.71
  6. Step 6: Final answer
    x = 17,005.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.