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Finding the Fourth Proportional to 12,533.41, 17,293.89 and 7,499.62

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Solution

The fourth proportional to 12,533.41, 17,293.89 and 7,499.62 is: 10,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.41 : 17,293.89 = 7,499.62 : x
  2. Step 2: Convert to fraction form
    12,533.41/17,293.89 = 7,499.62/x
  3. Step 3: Cross multiply
    12,533.41x = 17,293.89 × 7,499.62
  4. Step 4: Simplify right side
    12,533.41x = 129,697,603.32
  5. Step 5: Solve for x
    x = 129,697,603.32/12,533.41
  6. Step 6: Final answer
    x = 10,348.15

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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.