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Finding the Fourth Proportional to 12,813.84, 17,683.18 and 7,508.70

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Solution

The fourth proportional to 12,813.84, 17,683.18 and 7,508.70 is: 10,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.84 : 17,683.18 = 7,508.70 : x
  2. Step 2: Convert to fraction form
    12,813.84/17,683.18 = 7,508.70/x
  3. Step 3: Cross multiply
    12,813.84x = 17,683.18 × 7,508.70
  4. Step 4: Simplify right side
    12,813.84x = 132,777,693.67
  5. Step 5: Solve for x
    x = 132,777,693.67/12,813.84
  6. Step 6: Final answer
    x = 10,362.05

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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.