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Finding the Fourth Proportional to 12,833.98, 17,712.68 and 7,530.50

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Solution

The fourth proportional to 12,833.98, 17,712.68 and 7,530.50 is: 10,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.98 : 17,712.68 = 7,530.50 : x
  2. Step 2: Convert to fraction form
    12,833.98/17,712.68 = 7,530.50/x
  3. Step 3: Cross multiply
    12,833.98x = 17,712.68 × 7,530.50
  4. Step 4: Simplify right side
    12,833.98x = 133,385,343.37
  5. Step 5: Solve for x
    x = 133,385,343.37/12,833.98
  6. Step 6: Final answer
    x = 10,393.14

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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.