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Finding the Fourth Proportional to 19,102, 26,361.57 and 10,718.50

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Solution

The fourth proportional to 19,102, 26,361.57 and 10,718.50 is: 14,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,102 : 26,361.57 = 10,718.50 : x
  2. Step 2: Convert to fraction form
    19,102/26,361.57 = 10,718.50/x
  3. Step 3: Cross multiply
    19,102x = 26,361.57 × 10,718.50
  4. Step 4: Simplify right side
    19,102x = 282,556,488.05
  5. Step 5: Solve for x
    x = 282,556,488.05/19,102
  6. Step 6: Final answer
    x = 14,791.98

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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.