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Finding the Fourth Proportional to 14,140.09, 19,514.22 and 7,852.46

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Solution

The fourth proportional to 14,140.09, 19,514.22 and 7,852.46 is: 10,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.09 : 19,514.22 = 7,852.46 : x
  2. Step 2: Convert to fraction form
    14,140.09/19,514.22 = 7,852.46/x
  3. Step 3: Cross multiply
    14,140.09x = 19,514.22 × 7,852.46
  4. Step 4: Simplify right side
    14,140.09x = 153,234,631.98
  5. Step 5: Solve for x
    x = 153,234,631.98/14,140.09
  6. Step 6: Final answer
    x = 10,836.90

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