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Finding the Fourth Proportional to 13,106.57, 19,659.74 and 5,313.53

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Solution

The fourth proportional to 13,106.57, 19,659.74 and 5,313.53 is: 7,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.57 : 19,659.74 = 5,313.53 : x
  2. Step 2: Convert to fraction form
    13,106.57/19,659.74 = 5,313.53/x
  3. Step 3: Cross multiply
    13,106.57x = 19,659.74 × 5,313.53
  4. Step 4: Simplify right side
    13,106.57x = 104,462,591.71
  5. Step 5: Solve for x
    x = 104,462,591.71/13,106.57
  6. Step 6: Final answer
    x = 7,970.25

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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.