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Finding the Fourth Proportional to 19,083.68, 26,335.44 and 10,700

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Solution

The fourth proportional to 19,083.68, 26,335.44 and 10,700 is: 14,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,083.68 : 26,335.44 = 10,700 : x
  2. Step 2: Convert to fraction form
    19,083.68/26,335.44 = 10,700/x
  3. Step 3: Cross multiply
    19,083.68x = 26,335.44 × 10,700
  4. Step 4: Simplify right side
    19,083.68x = 281,789,208
  5. Step 5: Solve for x
    x = 281,789,208/19,083.68
  6. Step 6: Final answer
    x = 14,765.98

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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.