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Finding the Fourth Proportional to 14,178, 19,566.14 and 8,129.36

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Solution

The fourth proportional to 14,178, 19,566.14 and 8,129.36 is: 11,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178 : 19,566.14 = 8,129.36 : x
  2. Step 2: Convert to fraction form
    14,178/19,566.14 = 8,129.36/x
  3. Step 3: Cross multiply
    14,178x = 19,566.14 × 8,129.36
  4. Step 4: Simplify right side
    14,178x = 159,060,195.87
  5. Step 5: Solve for x
    x = 159,060,195.87/14,178
  6. Step 6: Final answer
    x = 11,218.80

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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.