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Finding the Fourth Proportional to 12,533.76, 17,297.28 and 7,157.79

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Solution

The fourth proportional to 12,533.76, 17,297.28 and 7,157.79 is: 9,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.76 : 17,297.28 = 7,157.79 : x
  2. Step 2: Convert to fraction form
    12,533.76/17,297.28 = 7,157.79/x
  3. Step 3: Cross multiply
    12,533.76x = 17,297.28 × 7,157.79
  4. Step 4: Simplify right side
    12,533.76x = 123,810,297.81
  5. Step 5: Solve for x
    x = 123,810,297.81/12,533.76
  6. Step 6: Final answer
    x = 9,878.14

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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.