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Finding the Fourth Proportional to 13,219.64, 19,830.66 and 5,822.35

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Solution

The fourth proportional to 13,219.64, 19,830.66 and 5,822.35 is: 8,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.64 : 19,830.66 = 5,822.35 : x
  2. Step 2: Convert to fraction form
    13,219.64/19,830.66 = 5,822.35/x
  3. Step 3: Cross multiply
    13,219.64x = 19,830.66 × 5,822.35
  4. Step 4: Simplify right side
    13,219.64x = 115,460,971.84
  5. Step 5: Solve for x
    x = 115,460,971.84/13,219.64
  6. Step 6: Final answer
    x = 8,734.05

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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.