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Finding the Fourth Proportional to 19,133.50, 26,406.66 and 10,750

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Solution

The fourth proportional to 19,133.50, 26,406.66 and 10,750 is: 14,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,133.50 : 26,406.66 = 10,750 : x
  2. Step 2: Convert to fraction form
    19,133.50/26,406.66 = 10,750/x
  3. Step 3: Cross multiply
    19,133.50x = 26,406.66 × 10,750
  4. Step 4: Simplify right side
    19,133.50x = 283,871,595
  5. Step 5: Solve for x
    x = 283,871,595/19,133.50
  6. Step 6: Final answer
    x = 14,836.37

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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.