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Finding the Fourth Proportional to 14,691, 22,021.41 and 5,802.72

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Solution

The fourth proportional to 14,691, 22,021.41 and 5,802.72 is: 8,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691 : 22,021.41 = 5,802.72 : x
  2. Step 2: Convert to fraction form
    14,691/22,021.41 = 5,802.72/x
  3. Step 3: Cross multiply
    14,691x = 22,021.41 × 5,802.72
  4. Step 4: Simplify right side
    14,691x = 127,784,076.24
  5. Step 5: Solve for x
    x = 127,784,076.24/14,691
  6. Step 6: Final answer
    x = 8,698.12

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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.