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Finding the Fourth Proportional to 15,801.69, 23,702.46 and 4,114.89

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Solution

The fourth proportional to 15,801.69, 23,702.46 and 4,114.89 is: 6,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.69 : 23,702.46 = 4,114.89 : x
  2. Step 2: Convert to fraction form
    15,801.69/23,702.46 = 4,114.89/x
  3. Step 3: Cross multiply
    15,801.69x = 23,702.46 × 4,114.89
  4. Step 4: Simplify right side
    15,801.69x = 97,533,015.63
  5. Step 5: Solve for x
    x = 97,533,015.63/15,801.69
  6. Step 6: Final answer
    x = 6,172.32

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