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Finding the Fourth Proportional to 12,835.74, 17,701.81 and 10,689.39

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Solution

The fourth proportional to 12,835.74, 17,701.81 and 10,689.39 is: 14,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.74 : 17,701.81 = 10,689.39 : x
  2. Step 2: Convert to fraction form
    12,835.74/17,701.81 = 10,689.39/x
  3. Step 3: Cross multiply
    12,835.74x = 17,701.81 × 10,689.39
  4. Step 4: Simplify right side
    12,835.74x = 189,221,603.92
  5. Step 5: Solve for x
    x = 189,221,603.92/12,835.74
  6. Step 6: Final answer
    x = 14,741.77

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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.