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Finding the Fourth Proportional to 12,538.89, 17,303.06 and 7,505.87

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Solution

The fourth proportional to 12,538.89, 17,303.06 and 7,505.87 is: 10,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.89 : 17,303.06 = 7,505.87 : x
  2. Step 2: Convert to fraction form
    12,538.89/17,303.06 = 7,505.87/x
  3. Step 3: Cross multiply
    12,538.89x = 17,303.06 × 7,505.87
  4. Step 4: Simplify right side
    12,538.89x = 129,874,524.69
  5. Step 5: Solve for x
    x = 129,874,524.69/12,538.89
  6. Step 6: Final answer
    x = 10,357.74

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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.