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Finding the Fourth Proportional to 17,005.86, 25,509.64 and 12,061.38

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Solution

The fourth proportional to 17,005.86, 25,509.64 and 12,061.38 is: 18,092.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.86 : 25,509.64 = 12,061.38 : x
  2. Step 2: Convert to fraction form
    17,005.86/25,509.64 = 12,061.38/x
  3. Step 3: Cross multiply
    17,005.86x = 25,509.64 × 12,061.38
  4. Step 4: Simplify right side
    17,005.86x = 307,681,461.70
  5. Step 5: Solve for x
    x = 307,681,461.70/17,005.86
  6. Step 6: Final answer
    x = 18,092.67

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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.