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Finding the Fourth Proportional to 21,141.91, 31,714.95 and 7,818.40

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Solution

The fourth proportional to 21,141.91, 31,714.95 and 7,818.40 is: 11,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141.91 : 31,714.95 = 7,818.40 : x
  2. Step 2: Convert to fraction form
    21,141.91/31,714.95 = 7,818.40/x
  3. Step 3: Cross multiply
    21,141.91x = 31,714.95 × 7,818.40
  4. Step 4: Simplify right side
    21,141.91x = 247,960,006.51
  5. Step 5: Solve for x
    x = 247,960,006.51/21,141.91
  6. Step 6: Final answer
    x = 11,728.37

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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.