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Finding the Fourth Proportional to 14,042.72, 19,381.04 and 8,739.20

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Solution

The fourth proportional to 14,042.72, 19,381.04 and 8,739.20 is: 12,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.72 : 19,381.04 = 8,739.20 : x
  2. Step 2: Convert to fraction form
    14,042.72/19,381.04 = 8,739.20/x
  3. Step 3: Cross multiply
    14,042.72x = 19,381.04 × 8,739.20
  4. Step 4: Simplify right side
    14,042.72x = 169,374,784.77
  5. Step 5: Solve for x
    x = 169,374,784.77/14,042.72
  6. Step 6: Final answer
    x = 12,061.39

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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.