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Finding the Fourth Proportional to 14,021.82, 19,339.95 and 9,537.61

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Solution

The fourth proportional to 14,021.82, 19,339.95 and 9,537.61 is: 13,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.82 : 19,339.95 = 9,537.61 : x
  2. Step 2: Convert to fraction form
    14,021.82/19,339.95 = 9,537.61/x
  3. Step 3: Cross multiply
    14,021.82x = 19,339.95 × 9,537.61
  4. Step 4: Simplify right side
    14,021.82x = 184,456,900.52
  5. Step 5: Solve for x
    x = 184,456,900.52/14,021.82
  6. Step 6: Final answer
    x = 13,154.99

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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.