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Finding the Fourth Proportional to 19,089.50, 26,343.53 and 10,706

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Solution

The fourth proportional to 19,089.50, 26,343.53 and 10,706 is: 14,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,089.50 : 26,343.53 = 10,706 : x
  2. Step 2: Convert to fraction form
    19,089.50/26,343.53 = 10,706/x
  3. Step 3: Cross multiply
    19,089.50x = 26,343.53 × 10,706
  4. Step 4: Simplify right side
    19,089.50x = 282,033,778.65
  5. Step 5: Solve for x
    x = 282,033,778.65/19,089.50
  6. Step 6: Final answer
    x = 14,774.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.