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Finding the Fourth Proportional to 13,030.15, 19,550.76 and 6,456.46

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Solution

The fourth proportional to 13,030.15, 19,550.76 and 6,456.46 is: 9,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.15 : 19,550.76 = 6,456.46 : x
  2. Step 2: Convert to fraction form
    13,030.15/19,550.76 = 6,456.46/x
  3. Step 3: Cross multiply
    13,030.15x = 19,550.76 × 6,456.46
  4. Step 4: Simplify right side
    13,030.15x = 126,228,699.91
  5. Step 5: Solve for x
    x = 126,228,699.91/13,030.15
  6. Step 6: Final answer
    x = 9,687.43

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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.