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Finding the Fourth Proportional to 13,077.44, 19,616.28 and 9,313.34

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Solution

The fourth proportional to 13,077.44, 19,616.28 and 9,313.34 is: 13,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.44 : 19,616.28 = 9,313.34 : x
  2. Step 2: Convert to fraction form
    13,077.44/19,616.28 = 9,313.34/x
  3. Step 3: Cross multiply
    13,077.44x = 19,616.28 × 9,313.34
  4. Step 4: Simplify right side
    13,077.44x = 182,693,085.18
  5. Step 5: Solve for x
    x = 182,693,085.18/13,077.44
  6. Step 6: Final answer
    x = 13,970.10

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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.