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Finding the Fourth Proportional to 15,689.80, 23,537.63 and 5,160.42

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Solution

The fourth proportional to 15,689.80, 23,537.63 and 5,160.42 is: 7,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.80 : 23,537.63 = 5,160.42 : x
  2. Step 2: Convert to fraction form
    15,689.80/23,537.63 = 5,160.42/x
  3. Step 3: Cross multiply
    15,689.80x = 23,537.63 × 5,160.42
  4. Step 4: Simplify right side
    15,689.80x = 121,464,056.60
  5. Step 5: Solve for x
    x = 121,464,056.60/15,689.80
  6. Step 6: Final answer
    x = 7,741.59

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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.