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Finding the Fourth Proportional to 21,169.23, 31,762.35 and 9,490.65

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Solution

The fourth proportional to 21,169.23, 31,762.35 and 9,490.65 is: 14,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.23 : 31,762.35 = 9,490.65 : x
  2. Step 2: Convert to fraction form
    21,169.23/31,762.35 = 9,490.65/x
  3. Step 3: Cross multiply
    21,169.23x = 31,762.35 × 9,490.65
  4. Step 4: Simplify right side
    21,169.23x = 301,445,347.03
  5. Step 5: Solve for x
    x = 301,445,347.03/21,169.23
  6. Step 6: Final answer
    x = 14,239.79

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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.