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Finding the Fourth Proportional to 22,944, 31,657.84 and 13,509.12

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Solution

The fourth proportional to 22,944, 31,657.84 and 13,509.12 is: 18,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,944 : 31,657.84 = 13,509.12 : x
  2. Step 2: Convert to fraction form
    22,944/31,657.84 = 13,509.12/x
  3. Step 3: Cross multiply
    22,944x = 31,657.84 × 13,509.12
  4. Step 4: Simplify right side
    22,944x = 427,669,559.50
  5. Step 5: Solve for x
    x = 427,669,559.50/22,944
  6. Step 6: Final answer
    x = 18,639.71

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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.