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Finding the Fourth Proportional to 14,590.29, 21,881.78 and 4,202.04

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Solution

The fourth proportional to 14,590.29, 21,881.78 and 4,202.04 is: 6,302.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.29 : 21,881.78 = 4,202.04 : x
  2. Step 2: Convert to fraction form
    14,590.29/21,881.78 = 4,202.04/x
  3. Step 3: Cross multiply
    14,590.29x = 21,881.78 × 4,202.04
  4. Step 4: Simplify right side
    14,590.29x = 91,948,114.83
  5. Step 5: Solve for x
    x = 91,948,114.83/14,590.29
  6. Step 6: Final answer
    x = 6,302.01

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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.