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Finding the Fourth Proportional to 12,533.67, 17,296.07 and 6,868.53

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Solution

The fourth proportional to 12,533.67, 17,296.07 and 6,868.53 is: 9,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.67 : 17,296.07 = 6,868.53 : x
  2. Step 2: Convert to fraction form
    12,533.67/17,296.07 = 6,868.53/x
  3. Step 3: Cross multiply
    12,533.67x = 17,296.07 × 6,868.53
  4. Step 4: Simplify right side
    12,533.67x = 118,798,541.33
  5. Step 5: Solve for x
    x = 118,798,541.33/12,533.67
  6. Step 6: Final answer
    x = 9,478.35

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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.