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Finding the Fourth Proportional to 19,024, 26,253.22 and 10,640.50

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Solution

The fourth proportional to 19,024, 26,253.22 and 10,640.50 is: 14,683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,024 : 26,253.22 = 10,640.50 : x
  2. Step 2: Convert to fraction form
    19,024/26,253.22 = 10,640.50/x
  3. Step 3: Cross multiply
    19,024x = 26,253.22 × 10,640.50
  4. Step 4: Simplify right side
    19,024x = 279,347,387.41
  5. Step 5: Solve for x
    x = 279,347,387.41/19,024
  6. Step 6: Final answer
    x = 14,683.95

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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.