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Finding the Fourth Proportional to 23,899.70, 32,983.32 and 14,340

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Solution

The fourth proportional to 23,899.70, 32,983.32 and 14,340 is: 19,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,899.70 : 32,983.32 = 14,340 : x
  2. Step 2: Convert to fraction form
    23,899.70/32,983.32 = 14,340/x
  3. Step 3: Cross multiply
    23,899.70x = 32,983.32 × 14,340
  4. Step 4: Simplify right side
    23,899.70x = 472,980,808.80
  5. Step 5: Solve for x
    x = 472,980,808.80/23,899.70
  6. Step 6: Final answer
    x = 19,790.24

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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.