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Finding the Fourth Proportional to 13,223.90, 19,837.48 and 5,830.22

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Solution

The fourth proportional to 13,223.90, 19,837.48 and 5,830.22 is: 8,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.90 : 19,837.48 = 5,830.22 : x
  2. Step 2: Convert to fraction form
    13,223.90/19,837.48 = 5,830.22/x
  3. Step 3: Cross multiply
    13,223.90x = 19,837.48 × 5,830.22
  4. Step 4: Simplify right side
    13,223.90x = 115,656,872.65
  5. Step 5: Solve for x
    x = 115,656,872.65/13,223.90
  6. Step 6: Final answer
    x = 8,746.05

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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.