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Finding the Fourth Proportional to 19,122.96, 26,392.32 and 10,740

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Solution

The fourth proportional to 19,122.96, 26,392.32 and 10,740 is: 14,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122.96 : 26,392.32 = 10,740 : x
  2. Step 2: Convert to fraction form
    19,122.96/26,392.32 = 10,740/x
  3. Step 3: Cross multiply
    19,122.96x = 26,392.32 × 10,740
  4. Step 4: Simplify right side
    19,122.96x = 283,453,516.80
  5. Step 5: Solve for x
    x = 283,453,516.80/19,122.96
  6. Step 6: Final answer
    x = 14,822.68

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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.