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Finding the Fourth Proportional to 13,785.24, 19,024.04 and 7,498.04

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Solution

The fourth proportional to 13,785.24, 19,024.04 and 7,498.04 is: 10,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.24 : 19,024.04 = 7,498.04 : x
  2. Step 2: Convert to fraction form
    13,785.24/19,024.04 = 7,498.04/x
  3. Step 3: Cross multiply
    13,785.24x = 19,024.04 × 7,498.04
  4. Step 4: Simplify right side
    13,785.24x = 142,643,012.88
  5. Step 5: Solve for x
    x = 142,643,012.88/13,785.24
  6. Step 6: Final answer
    x = 10,347.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.