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Finding the Fourth Proportional to 19,083, 26,334.54 and 10,699.68

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Solution

The fourth proportional to 19,083, 26,334.54 and 10,699.68 is: 14,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,083 : 26,334.54 = 10,699.68 : x
  2. Step 2: Convert to fraction form
    19,083/26,334.54 = 10,699.68/x
  3. Step 3: Cross multiply
    19,083x = 26,334.54 × 10,699.68
  4. Step 4: Simplify right side
    19,083x = 281,771,150.95
  5. Step 5: Solve for x
    x = 281,771,150.95/19,083
  6. Step 6: Final answer
    x = 14,765.56

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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.