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Finding the Fourth Proportional to 15,707.96, 23,561.82 and 4,021.16

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Solution

The fourth proportional to 15,707.96, 23,561.82 and 4,021.16 is: 6,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.96 : 23,561.82 = 4,021.16 : x
  2. Step 2: Convert to fraction form
    15,707.96/23,561.82 = 4,021.16/x
  3. Step 3: Cross multiply
    15,707.96x = 23,561.82 × 4,021.16
  4. Step 4: Simplify right side
    15,707.96x = 94,745,848.11
  5. Step 5: Solve for x
    x = 94,745,848.11/15,707.96
  6. Step 6: Final answer
    x = 6,031.71

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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.