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Finding the Fourth Proportional to 12,835.46, 17,713.06 and 7,530.36

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Solution

The fourth proportional to 12,835.46, 17,713.06 and 7,530.36 is: 10,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.46 : 17,713.06 = 7,530.36 : x
  2. Step 2: Convert to fraction form
    12,835.46/17,713.06 = 7,530.36/x
  3. Step 3: Cross multiply
    12,835.46x = 17,713.06 × 7,530.36
  4. Step 4: Simplify right side
    12,835.46x = 133,385,718.50
  5. Step 5: Solve for x
    x = 133,385,718.50/12,835.46
  6. Step 6: Final answer
    x = 10,391.97

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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.