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Finding the Fourth Proportional to 12,188.72, 16,820.16 and 6,883.40

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Solution

The fourth proportional to 12,188.72, 16,820.16 and 6,883.40 is: 9,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.72 : 16,820.16 = 6,883.40 : x
  2. Step 2: Convert to fraction form
    12,188.72/16,820.16 = 6,883.40/x
  3. Step 3: Cross multiply
    12,188.72x = 16,820.16 × 6,883.40
  4. Step 4: Simplify right side
    12,188.72x = 115,779,889.34
  5. Step 5: Solve for x
    x = 115,779,889.34/12,188.72
  6. Step 6: Final answer
    x = 9,498.94

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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.