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Finding the Fourth Proportional to 15,665.90, 23,493.04 and 6,302.72

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Solution

The fourth proportional to 15,665.90, 23,493.04 and 6,302.72 is: 9,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.90 : 23,493.04 = 6,302.72 : x
  2. Step 2: Convert to fraction form
    15,665.90/23,493.04 = 6,302.72/x
  3. Step 3: Cross multiply
    15,665.90x = 23,493.04 × 6,302.72
  4. Step 4: Simplify right side
    15,665.90x = 148,070,053.07
  5. Step 5: Solve for x
    x = 148,070,053.07/15,665.90
  6. Step 6: Final answer
    x = 9,451.74

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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.