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Finding the Fourth Proportional to 12,016.86, 16,580.43 and 7,300.86

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Solution

The fourth proportional to 12,016.86, 16,580.43 and 7,300.86 is: 10,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.86 : 16,580.43 = 7,300.86 : x
  2. Step 2: Convert to fraction form
    12,016.86/16,580.43 = 7,300.86/x
  3. Step 3: Cross multiply
    12,016.86x = 16,580.43 × 7,300.86
  4. Step 4: Simplify right side
    12,016.86x = 121,051,398.17
  5. Step 5: Solve for x
    x = 121,051,398.17/12,016.86
  6. Step 6: Final answer
    x = 10,073.46

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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.