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Finding the Fourth Proportional to 13,313.45, 19,970.22 and 6,291.20

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Solution

The fourth proportional to 13,313.45, 19,970.22 and 6,291.20 is: 9,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,313.45 : 19,970.22 = 6,291.20 : x
  2. Step 2: Convert to fraction form
    13,313.45/19,970.22 = 6,291.20/x
  3. Step 3: Cross multiply
    13,313.45x = 19,970.22 × 6,291.20
  4. Step 4: Simplify right side
    13,313.45x = 125,636,648.06
  5. Step 5: Solve for x
    x = 125,636,648.06/13,313.45
  6. Step 6: Final answer
    x = 9,436.82

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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.