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Finding the Fourth Proportional to 14,046.47, 19,383.92 and 7,672.98

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Solution

The fourth proportional to 14,046.47, 19,383.92 and 7,672.98 is: 10,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.47 : 19,383.92 = 7,672.98 : x
  2. Step 2: Convert to fraction form
    14,046.47/19,383.92 = 7,672.98/x
  3. Step 3: Cross multiply
    14,046.47x = 19,383.92 × 7,672.98
  4. Step 4: Simplify right side
    14,046.47x = 148,732,536.74
  5. Step 5: Solve for x
    x = 148,732,536.74/14,046.47
  6. Step 6: Final answer
    x = 10,588.61

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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.