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Finding the Fourth Proportional to 14,454.61, 21,671.37 and 9,762.97

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Solution

The fourth proportional to 14,454.61, 21,671.37 and 9,762.97 is: 14,637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.61 : 21,671.37 = 9,762.97 : x
  2. Step 2: Convert to fraction form
    14,454.61/21,671.37 = 9,762.97/x
  3. Step 3: Cross multiply
    14,454.61x = 21,671.37 × 9,762.97
  4. Step 4: Simplify right side
    14,454.61x = 211,576,935.17
  5. Step 5: Solve for x
    x = 211,576,935.17/14,454.61
  6. Step 6: Final answer
    x = 14,637.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.