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Finding the Fourth Proportional to 13,407.69, 20,111.54 and 4,637.82

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Solution

The fourth proportional to 13,407.69, 20,111.54 and 4,637.82 is: 6,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.69 : 20,111.54 = 4,637.82 : x
  2. Step 2: Convert to fraction form
    13,407.69/20,111.54 = 4,637.82/x
  3. Step 3: Cross multiply
    13,407.69x = 20,111.54 × 4,637.82
  4. Step 4: Simplify right side
    13,407.69x = 93,273,702.44
  5. Step 5: Solve for x
    x = 93,273,702.44/13,407.69
  6. Step 6: Final answer
    x = 6,956.73

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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.