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Finding the Fourth Proportional to 19,165.64, 26,448.32 and 10,782.14

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Solution

The fourth proportional to 19,165.64, 26,448.32 and 10,782.14 is: 14,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,165.64 : 26,448.32 = 10,782.14 : x
  2. Step 2: Convert to fraction form
    19,165.64/26,448.32 = 10,782.14/x
  3. Step 3: Cross multiply
    19,165.64x = 26,448.32 × 10,782.14
  4. Step 4: Simplify right side
    19,165.64x = 285,169,383.72
  5. Step 5: Solve for x
    x = 285,169,383.72/19,165.64
  6. Step 6: Final answer
    x = 14,879.20

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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.