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Finding the Fourth Proportional to 12,705.64, 19,063.90 and 6,553.96

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Solution

The fourth proportional to 12,705.64, 19,063.90 and 6,553.96 is: 9,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.64 : 19,063.90 = 6,553.96 : x
  2. Step 2: Convert to fraction form
    12,705.64/19,063.90 = 6,553.96/x
  3. Step 3: Cross multiply
    12,705.64x = 19,063.90 × 6,553.96
  4. Step 4: Simplify right side
    12,705.64x = 124,944,038.04
  5. Step 5: Solve for x
    x = 124,944,038.04/12,705.64
  6. Step 6: Final answer
    x = 9,833.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.