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Finding the Fourth Proportional to 12,533.01, 17,295.19 and 6,867.64

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Solution

The fourth proportional to 12,533.01, 17,295.19 and 6,867.64 is: 9,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.01 : 17,295.19 = 6,867.64 : x
  2. Step 2: Convert to fraction form
    12,533.01/17,295.19 = 6,867.64/x
  3. Step 3: Cross multiply
    12,533.01x = 17,295.19 × 6,867.64
  4. Step 4: Simplify right side
    12,533.01x = 118,777,045.82
  5. Step 5: Solve for x
    x = 118,777,045.82/12,533.01
  6. Step 6: Final answer
    x = 9,477.14

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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.