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Finding the Fourth Proportional to 14,904, 22,362.12 and 7,107.84

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Solution

The fourth proportional to 14,904, 22,362.12 and 7,107.84 is: 10,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904 : 22,362.12 = 7,107.84 : x
  2. Step 2: Convert to fraction form
    14,904/22,362.12 = 7,107.84/x
  3. Step 3: Cross multiply
    14,904x = 22,362.12 × 7,107.84
  4. Step 4: Simplify right side
    14,904x = 158,946,371.02
  5. Step 5: Solve for x
    x = 158,946,371.02/14,904
  6. Step 6: Final answer
    x = 10,664.68

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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.