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Finding the Fourth Proportional to 23,465.44, 32,382.31 and 14,034

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Solution

The fourth proportional to 23,465.44, 32,382.31 and 14,034 is: 19,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465.44 : 32,382.31 = 14,034 : x
  2. Step 2: Convert to fraction form
    23,465.44/32,382.31 = 14,034/x
  3. Step 3: Cross multiply
    23,465.44x = 32,382.31 × 14,034
  4. Step 4: Simplify right side
    23,465.44x = 454,453,303.46
  5. Step 5: Solve for x
    x = 454,453,303.46/23,465.44
  6. Step 6: Final answer
    x = 19,366.92

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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.