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Finding the Fourth Proportional to 13,240.32, 19,857.92 and 4,004.16

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Solution

The fourth proportional to 13,240.32, 19,857.92 and 4,004.16 is: 6,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240.32 : 19,857.92 = 4,004.16 : x
  2. Step 2: Convert to fraction form
    13,240.32/19,857.92 = 4,004.16/x
  3. Step 3: Cross multiply
    13,240.32x = 19,857.92 × 4,004.16
  4. Step 4: Simplify right side
    13,240.32x = 79,514,288.95
  5. Step 5: Solve for x
    x = 79,514,288.95/13,240.32
  6. Step 6: Final answer
    x = 6,005.47

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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.