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Finding the Fourth Proportional to 12,862.02, 17,749.52 and 7,196.76

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Solution

The fourth proportional to 12,862.02, 17,749.52 and 7,196.76 is: 9,931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.02 : 17,749.52 = 7,196.76 : x
  2. Step 2: Convert to fraction form
    12,862.02/17,749.52 = 7,196.76/x
  3. Step 3: Cross multiply
    12,862.02x = 17,749.52 × 7,196.76
  4. Step 4: Simplify right side
    12,862.02x = 127,739,035.56
  5. Step 5: Solve for x
    x = 127,739,035.56/12,862.02
  6. Step 6: Final answer
    x = 9,931.49

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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.