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Finding the Fourth Proportional to 19,235.96, 26,546.10 and 10,853

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Solution

The fourth proportional to 19,235.96, 26,546.10 and 10,853 is: 14,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,235.96 : 26,546.10 = 10,853 : x
  2. Step 2: Convert to fraction form
    19,235.96/26,546.10 = 10,853/x
  3. Step 3: Cross multiply
    19,235.96x = 26,546.10 × 10,853
  4. Step 4: Simplify right side
    19,235.96x = 288,104,823.30
  5. Step 5: Solve for x
    x = 288,104,823.30/19,235.96
  6. Step 6: Final answer
    x = 14,977.41

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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.