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Finding the Fourth Proportional to 13,785.98, 19,035.37 and 10,594.22

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Solution

The fourth proportional to 13,785.98, 19,035.37 and 10,594.22 is: 14,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.98 : 19,035.37 = 10,594.22 : x
  2. Step 2: Convert to fraction form
    13,785.98/19,035.37 = 10,594.22/x
  3. Step 3: Cross multiply
    13,785.98x = 19,035.37 × 10,594.22
  4. Step 4: Simplify right side
    13,785.98x = 201,664,897.56
  5. Step 5: Solve for x
    x = 201,664,897.56/13,785.98
  6. Step 6: Final answer
    x = 14,628.27

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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.