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Finding the Fourth Proportional to 19,876.14, 27,417.69 and 12,411.18

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Solution

The fourth proportional to 19,876.14, 27,417.69 and 12,411.18 is: 17,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.14 : 27,417.69 = 12,411.18 : x
  2. Step 2: Convert to fraction form
    19,876.14/27,417.69 = 12,411.18/x
  3. Step 3: Cross multiply
    19,876.14x = 27,417.69 × 12,411.18
  4. Step 4: Simplify right side
    19,876.14x = 340,285,885.77
  5. Step 5: Solve for x
    x = 340,285,885.77/19,876.14
  6. Step 6: Final answer
    x = 17,120.32

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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.