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Finding the Fourth Proportional to 19,423.40, 26,797.38 and 11,461.64

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Solution

The fourth proportional to 19,423.40, 26,797.38 and 11,461.64 is: 15,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,423.40 : 26,797.38 = 11,461.64 : x
  2. Step 2: Convert to fraction form
    19,423.40/26,797.38 = 11,461.64/x
  3. Step 3: Cross multiply
    19,423.40x = 26,797.38 × 11,461.64
  4. Step 4: Simplify right side
    19,423.40x = 307,141,922.50
  5. Step 5: Solve for x
    x = 307,141,922.50/19,423.40
  6. Step 6: Final answer
    x = 15,812.98

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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.