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Finding the Fourth Proportional to 13,785.68, 19,024.44 and 8,477.36

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Solution

The fourth proportional to 13,785.68, 19,024.44 and 8,477.36 is: 11,698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.68 : 19,024.44 = 8,477.36 : x
  2. Step 2: Convert to fraction form
    13,785.68/19,024.44 = 8,477.36/x
  3. Step 3: Cross multiply
    13,785.68x = 19,024.44 × 8,477.36
  4. Step 4: Simplify right side
    13,785.68x = 161,277,026.68
  5. Step 5: Solve for x
    x = 161,277,026.68/13,785.68
  6. Step 6: Final answer
    x = 11,698.88

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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.