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Finding the Fourth Proportional to 19,420.40, 26,799.38 and 11,465.19

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Solution

The fourth proportional to 19,420.40, 26,799.38 and 11,465.19 is: 15,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,420.40 : 26,799.38 = 11,465.19 : x
  2. Step 2: Convert to fraction form
    19,420.40/26,799.38 = 11,465.19/x
  3. Step 3: Cross multiply
    19,420.40x = 26,799.38 × 11,465.19
  4. Step 4: Simplify right side
    19,420.40x = 307,259,868.75
  5. Step 5: Solve for x
    x = 307,259,868.75/19,420.40
  6. Step 6: Final answer
    x = 15,821.50

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Why These Related Problems?

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