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Finding the Fourth Proportional to 14,260.86, 19,681.04 and 8,212.15

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Solution

The fourth proportional to 14,260.86, 19,681.04 and 8,212.15 is: 11,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,260.86 : 19,681.04 = 8,212.15 : x
  2. Step 2: Convert to fraction form
    14,260.86/19,681.04 = 8,212.15/x
  3. Step 3: Cross multiply
    14,260.86x = 19,681.04 × 8,212.15
  4. Step 4: Simplify right side
    14,260.86x = 161,623,697.77
  5. Step 5: Solve for x
    x = 161,623,697.77/14,260.86
  6. Step 6: Final answer
    x = 11,333.38

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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.