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Finding the Fourth Proportional to 14,784.94, 22,177.16 and 3,691.50

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Solution

The fourth proportional to 14,784.94, 22,177.16 and 3,691.50 is: 5,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.94 : 22,177.16 = 3,691.50 : x
  2. Step 2: Convert to fraction form
    14,784.94/22,177.16 = 3,691.50/x
  3. Step 3: Cross multiply
    14,784.94x = 22,177.16 × 3,691.50
  4. Step 4: Simplify right side
    14,784.94x = 81,866,986.14
  5. Step 5: Solve for x
    x = 81,866,986.14/14,784.94
  6. Step 6: Final answer
    x = 5,537.19

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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.