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Finding the Fourth Proportional to 12,706.83, 19,015.89 and 9,699.70

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Solution

The fourth proportional to 12,706.83, 19,015.89 and 9,699.70 is: 14,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.83 : 19,015.89 = 9,699.70 : x
  2. Step 2: Convert to fraction form
    12,706.83/19,015.89 = 9,699.70/x
  3. Step 3: Cross multiply
    12,706.83x = 19,015.89 × 9,699.70
  4. Step 4: Simplify right side
    12,706.83x = 184,448,428.23
  5. Step 5: Solve for x
    x = 184,448,428.23/12,706.83
  6. Step 6: Final answer
    x = 14,515.69

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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.