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Finding the Fourth Proportional to 19,123.68, 26,393.04 and 10,740

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Solution

The fourth proportional to 19,123.68, 26,393.04 and 10,740 is: 14,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,123.68 : 26,393.04 = 10,740 : x
  2. Step 2: Convert to fraction form
    19,123.68/26,393.04 = 10,740/x
  3. Step 3: Cross multiply
    19,123.68x = 26,393.04 × 10,740
  4. Step 4: Simplify right side
    19,123.68x = 283,461,249.60
  5. Step 5: Solve for x
    x = 283,461,249.60/19,123.68
  6. Step 6: Final answer
    x = 14,822.53

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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.