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Finding the Fourth Proportional to 23,891.12, 32,970.04 and 14,944

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Solution

The fourth proportional to 23,891.12, 32,970.04 and 14,944 is: 20,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.12 : 32,970.04 = 14,944 : x
  2. Step 2: Convert to fraction form
    23,891.12/32,970.04 = 14,944/x
  3. Step 3: Cross multiply
    23,891.12x = 32,970.04 × 14,944
  4. Step 4: Simplify right side
    23,891.12x = 492,704,277.76
  5. Step 5: Solve for x
    x = 492,704,277.76/23,891.12
  6. Step 6: Final answer
    x = 20,622.90

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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.