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Finding the Fourth Proportional to 15,693.04, 23,539.24 and 4,006

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Solution

The fourth proportional to 15,693.04, 23,539.24 and 4,006 is: 6,008.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,693.04 : 23,539.24 = 4,006 : x
  2. Step 2: Convert to fraction form
    15,693.04/23,539.24 = 4,006/x
  3. Step 3: Cross multiply
    15,693.04x = 23,539.24 × 4,006
  4. Step 4: Simplify right side
    15,693.04x = 94,298,195.44
  5. Step 5: Solve for x
    x = 94,298,195.44/15,693.04
  6. Step 6: Final answer
    x = 6,008.92

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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.