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Finding the Fourth Proportional to 13,846.72, 19,129.38 and 9,078.04

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Solution

The fourth proportional to 13,846.72, 19,129.38 and 9,078.04 is: 12,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.72 : 19,129.38 = 9,078.04 : x
  2. Step 2: Convert to fraction form
    13,846.72/19,129.38 = 9,078.04/x
  3. Step 3: Cross multiply
    13,846.72x = 19,129.38 × 9,078.04
  4. Step 4: Simplify right side
    13,846.72x = 173,657,276.82
  5. Step 5: Solve for x
    x = 173,657,276.82/13,846.72
  6. Step 6: Final answer
    x = 12,541.40

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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.