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Finding the Fourth Proportional to 13,111.68, 19,667.46 and 5,320.46

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Solution

The fourth proportional to 13,111.68, 19,667.46 and 5,320.46 is: 7,980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111.68 : 19,667.46 = 5,320.46 : x
  2. Step 2: Convert to fraction form
    13,111.68/19,667.46 = 5,320.46/x
  3. Step 3: Cross multiply
    13,111.68x = 19,667.46 × 5,320.46
  4. Step 4: Simplify right side
    13,111.68x = 104,639,934.23
  5. Step 5: Solve for x
    x = 104,639,934.23/13,111.68
  6. Step 6: Final answer
    x = 7,980.67

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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.