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Finding the Fourth Proportional to 13,786.32, 19,024.41 and 7,498.68

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Solution

The fourth proportional to 13,786.32, 19,024.41 and 7,498.68 is: 10,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.32 : 19,024.41 = 7,498.68 : x
  2. Step 2: Convert to fraction form
    13,786.32/19,024.41 = 7,498.68/x
  3. Step 3: Cross multiply
    13,786.32x = 19,024.41 × 7,498.68
  4. Step 4: Simplify right side
    13,786.32x = 142,657,962.78
  5. Step 5: Solve for x
    x = 142,657,962.78/13,786.32
  6. Step 6: Final answer
    x = 10,347.79

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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.