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Finding the Fourth Proportional to 13,805.70, 19,041.84 and 8,498.58

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Solution

The fourth proportional to 13,805.70, 19,041.84 and 8,498.58 is: 11,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.70 : 19,041.84 = 8,498.58 : x
  2. Step 2: Convert to fraction form
    13,805.70/19,041.84 = 8,498.58/x
  3. Step 3: Cross multiply
    13,805.70x = 19,041.84 × 8,498.58
  4. Step 4: Simplify right side
    13,805.70x = 161,828,600.59
  5. Step 5: Solve for x
    x = 161,828,600.59/13,805.70
  6. Step 6: Final answer
    x = 11,721.87

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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.