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Finding the Fourth Proportional to 12,013.35, 16,573.32 and 7,534.05

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Solution

The fourth proportional to 12,013.35, 16,573.32 and 7,534.05 is: 10,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.35 : 16,573.32 = 7,534.05 : x
  2. Step 2: Convert to fraction form
    12,013.35/16,573.32 = 7,534.05/x
  3. Step 3: Cross multiply
    12,013.35x = 16,573.32 × 7,534.05
  4. Step 4: Simplify right side
    12,013.35x = 124,864,221.55
  5. Step 5: Solve for x
    x = 124,864,221.55/12,013.35
  6. Step 6: Final answer
    x = 10,393.79

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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.