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Finding the Fourth Proportional to 19,077, 26,328.69 and 10,693.50

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Solution

The fourth proportional to 19,077, 26,328.69 and 10,693.50 is: 14,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,077 : 26,328.69 = 10,693.50 : x
  2. Step 2: Convert to fraction form
    19,077/26,328.69 = 10,693.50/x
  3. Step 3: Cross multiply
    19,077x = 26,328.69 × 10,693.50
  4. Step 4: Simplify right side
    19,077x = 281,545,846.52
  5. Step 5: Solve for x
    x = 281,545,846.52/19,077
  6. Step 6: Final answer
    x = 14,758.39

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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.