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Finding the Fourth Proportional to 23,672.56, 35,560.40 and 14,317

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Solution

The fourth proportional to 23,672.56, 35,560.40 and 14,317 is: 21,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.56 : 35,560.40 = 14,317 : x
  2. Step 2: Convert to fraction form
    23,672.56/35,560.40 = 14,317/x
  3. Step 3: Cross multiply
    23,672.56x = 35,560.40 × 14,317
  4. Step 4: Simplify right side
    23,672.56x = 509,118,246.80
  5. Step 5: Solve for x
    x = 509,118,246.80/23,672.56
  6. Step 6: Final answer
    x = 21,506.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.