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Finding the Fourth Proportional to 11,708.83, 17,587.74 and 9,953.56

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Solution

The fourth proportional to 11,708.83, 17,587.74 and 9,953.56 is: 14,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.83 : 17,587.74 = 9,953.56 : x
  2. Step 2: Convert to fraction form
    11,708.83/17,587.74 = 9,953.56/x
  3. Step 3: Cross multiply
    11,708.83x = 17,587.74 × 9,953.56
  4. Step 4: Simplify right side
    11,708.83x = 175,060,537.42
  5. Step 5: Solve for x
    x = 175,060,537.42/11,708.83
  6. Step 6: Final answer
    x = 14,951.16

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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.