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Finding the Fourth Proportional to 13,113.86, 19,679.00 and 5,322.68

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Solution

The fourth proportional to 13,113.86, 19,679.00 and 5,322.68 is: 7,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.86 : 19,679.00 = 5,322.68 : x
  2. Step 2: Convert to fraction form
    13,113.86/19,679.00 = 5,322.68/x
  3. Step 3: Cross multiply
    13,113.86x = 19,679.00 × 5,322.68
  4. Step 4: Simplify right side
    13,113.86x = 104,744,894.71
  5. Step 5: Solve for x
    x = 104,744,894.71/13,113.86
  6. Step 6: Final answer
    x = 7,987.34

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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.