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Finding the Fourth Proportional to 12,714.74, 19,077.38 and 6,864.47

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Solution

The fourth proportional to 12,714.74, 19,077.38 and 6,864.47 is: 10,299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.74 : 19,077.38 = 6,864.47 : x
  2. Step 2: Convert to fraction form
    12,714.74/19,077.38 = 6,864.47/x
  3. Step 3: Cross multiply
    12,714.74x = 19,077.38 × 6,864.47
  4. Step 4: Simplify right side
    12,714.74x = 130,956,068.37
  5. Step 5: Solve for x
    x = 130,956,068.37/12,714.74
  6. Step 6: Final answer
    x = 10,299.55

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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.