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Finding the Fourth Proportional to 17,714.72, 26,574.51 and 7,853.78

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Solution

The fourth proportional to 17,714.72, 26,574.51 and 7,853.78 is: 11,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.72 : 26,574.51 = 7,853.78 : x
  2. Step 2: Convert to fraction form
    17,714.72/26,574.51 = 7,853.78/x
  3. Step 3: Cross multiply
    17,714.72x = 26,574.51 × 7,853.78
  4. Step 4: Simplify right side
    17,714.72x = 208,710,222.28
  5. Step 5: Solve for x
    x = 208,710,222.28/17,714.72
  6. Step 6: Final answer
    x = 11,781.74

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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.