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Finding the Fourth Proportional to 12,997.35, 19,465.08 and 8,302.82

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Solution

The fourth proportional to 12,997.35, 19,465.08 and 8,302.82 is: 12,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.35 : 19,465.08 = 8,302.82 : x
  2. Step 2: Convert to fraction form
    12,997.35/19,465.08 = 8,302.82/x
  3. Step 3: Cross multiply
    12,997.35x = 19,465.08 × 8,302.82
  4. Step 4: Simplify right side
    12,997.35x = 161,615,055.53
  5. Step 5: Solve for x
    x = 161,615,055.53/12,997.35
  6. Step 6: Final answer
    x = 12,434.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.