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Finding the Fourth Proportional to 12,830.70, 19,231.65 and 6,588.30

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Solution

The fourth proportional to 12,830.70, 19,231.65 and 6,588.30 is: 9,875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.70 : 19,231.65 = 6,588.30 : x
  2. Step 2: Convert to fraction form
    12,830.70/19,231.65 = 6,588.30/x
  3. Step 3: Cross multiply
    12,830.70x = 19,231.65 × 6,588.30
  4. Step 4: Simplify right side
    12,830.70x = 126,703,879.70
  5. Step 5: Solve for x
    x = 126,703,879.70/12,830.70
  6. Step 6: Final answer
    x = 9,875.06

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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.