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Finding the Fourth Proportional to 13,105.17, 19,657.71 and 5,313.96

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Solution

The fourth proportional to 13,105.17, 19,657.71 and 5,313.96 is: 7,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.17 : 19,657.71 = 5,313.96 : x
  2. Step 2: Convert to fraction form
    13,105.17/19,657.71 = 5,313.96/x
  3. Step 3: Cross multiply
    13,105.17x = 19,657.71 × 5,313.96
  4. Step 4: Simplify right side
    13,105.17x = 104,460,284.63
  5. Step 5: Solve for x
    x = 104,460,284.63/13,105.17
  6. Step 6: Final answer
    x = 7,970.92

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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.