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Finding the Fourth Proportional to 12,835.53, 17,711.78 and 7,529.31

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Solution

The fourth proportional to 12,835.53, 17,711.78 and 7,529.31 is: 10,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.53 : 17,711.78 = 7,529.31 : x
  2. Step 2: Convert to fraction form
    12,835.53/17,711.78 = 7,529.31/x
  3. Step 3: Cross multiply
    12,835.53x = 17,711.78 × 7,529.31
  4. Step 4: Simplify right side
    12,835.53x = 133,357,444.63
  5. Step 5: Solve for x
    x = 133,357,444.63/12,835.53
  6. Step 6: Final answer
    x = 10,389.71

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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.