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Finding the Fourth Proportional to 23,702.58, 32,704.02 and 14,142.96

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Solution

The fourth proportional to 23,702.58, 32,704.02 and 14,142.96 is: 19,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.58 : 32,704.02 = 14,142.96 : x
  2. Step 2: Convert to fraction form
    23,702.58/32,704.02 = 14,142.96/x
  3. Step 3: Cross multiply
    23,702.58x = 32,704.02 × 14,142.96
  4. Step 4: Simplify right side
    23,702.58x = 462,531,646.70
  5. Step 5: Solve for x
    x = 462,531,646.70/23,702.58
  6. Step 6: Final answer
    x = 19,513.98

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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.