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Finding the Fourth Proportional to 23,414.41, 32,312.14 and 12,803.81

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Solution

The fourth proportional to 23,414.41, 32,312.14 and 12,803.81 is: 17,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.41 : 32,312.14 = 12,803.81 : x
  2. Step 2: Convert to fraction form
    23,414.41/32,312.14 = 12,803.81/x
  3. Step 3: Cross multiply
    23,414.41x = 32,312.14 × 12,803.81
  4. Step 4: Simplify right side
    23,414.41x = 413,718,550.02
  5. Step 5: Solve for x
    x = 413,718,550.02/23,414.41
  6. Step 6: Final answer
    x = 17,669.40

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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.