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Finding the Fourth Proportional to 13,707.48, 18,916.38 and 8,118.12

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Solution

The fourth proportional to 13,707.48, 18,916.38 and 8,118.12 is: 11,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.48 : 18,916.38 = 8,118.12 : x
  2. Step 2: Convert to fraction form
    13,707.48/18,916.38 = 8,118.12/x
  3. Step 3: Cross multiply
    13,707.48x = 18,916.38 × 8,118.12
  4. Step 4: Simplify right side
    13,707.48x = 153,565,442.81
  5. Step 5: Solve for x
    x = 153,565,442.81/13,707.48
  6. Step 6: Final answer
    x = 11,203.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.