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Finding the Fourth Proportional to 19,721.88, 29,586.06 and 7,259.22

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Solution

The fourth proportional to 19,721.88, 29,586.06 and 7,259.22 is: 10,890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,721.88 : 29,586.06 = 7,259.22 : x
  2. Step 2: Convert to fraction form
    19,721.88/29,586.06 = 7,259.22/x
  3. Step 3: Cross multiply
    19,721.88x = 29,586.06 × 7,259.22
  4. Step 4: Simplify right side
    19,721.88x = 214,771,718.47
  5. Step 5: Solve for x
    x = 214,771,718.47/19,721.88
  6. Step 6: Final answer
    x = 10,890.02

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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.