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Finding the Fourth Proportional to 13,322.86, 19,994.04 and 6,402.22

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Solution

The fourth proportional to 13,322.86, 19,994.04 and 6,402.22 is: 9,608.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.86 : 19,994.04 = 6,402.22 : x
  2. Step 2: Convert to fraction form
    13,322.86/19,994.04 = 6,402.22/x
  3. Step 3: Cross multiply
    13,322.86x = 19,994.04 × 6,402.22
  4. Step 4: Simplify right side
    13,322.86x = 128,006,242.77
  5. Step 5: Solve for x
    x = 128,006,242.77/13,322.86
  6. Step 6: Final answer
    x = 9,608.02

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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.