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Finding the Fourth Proportional to 26,014.70, 39,022.06 and 10,421.40

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Solution

The fourth proportional to 26,014.70, 39,022.06 and 10,421.40 is: 15,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,014.70 : 39,022.06 = 10,421.40 : x
  2. Step 2: Convert to fraction form
    26,014.70/39,022.06 = 10,421.40/x
  3. Step 3: Cross multiply
    26,014.70x = 39,022.06 × 10,421.40
  4. Step 4: Simplify right side
    26,014.70x = 406,664,496.08
  5. Step 5: Solve for x
    x = 406,664,496.08/26,014.70
  6. Step 6: Final answer
    x = 15,632.10

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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.