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Finding the Fourth Proportional to 13,048.92, 19,538.64 and 8,897.10

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Solution

The fourth proportional to 13,048.92, 19,538.64 and 8,897.10 is: 13,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.92 : 19,538.64 = 8,897.10 : x
  2. Step 2: Convert to fraction form
    13,048.92/19,538.64 = 8,897.10/x
  3. Step 3: Cross multiply
    13,048.92x = 19,538.64 × 8,897.10
  4. Step 4: Simplify right side
    13,048.92x = 173,837,233.94
  5. Step 5: Solve for x
    x = 173,837,233.94/13,048.92
  6. Step 6: Final answer
    x = 13,321.96

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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.