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Finding the Fourth Proportional to 12,034.32, 16,607.64 and 6,656.76

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Solution

The fourth proportional to 12,034.32, 16,607.64 and 6,656.76 is: 9,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.32 : 16,607.64 = 6,656.76 : x
  2. Step 2: Convert to fraction form
    12,034.32/16,607.64 = 6,656.76/x
  3. Step 3: Cross multiply
    12,034.32x = 16,607.64 × 6,656.76
  4. Step 4: Simplify right side
    12,034.32x = 110,553,073.65
  5. Step 5: Solve for x
    x = 110,553,073.65/12,034.32
  6. Step 6: Final answer
    x = 9,186.48

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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.