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Finding the Fourth Proportional to 13,915.86, 19,204.67 and 8,253.96

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Solution

The fourth proportional to 13,915.86, 19,204.67 and 8,253.96 is: 11,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.86 : 19,204.67 = 8,253.96 : x
  2. Step 2: Convert to fraction form
    13,915.86/19,204.67 = 8,253.96/x
  3. Step 3: Cross multiply
    13,915.86x = 19,204.67 × 8,253.96
  4. Step 4: Simplify right side
    13,915.86x = 158,514,598.63
  5. Step 5: Solve for x
    x = 158,514,598.63/13,915.86
  6. Step 6: Final answer
    x = 11,390.93

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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.