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Finding the Fourth Proportional to 17,277.60, 25,917.14 and 6,034.08

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Solution

The fourth proportional to 17,277.60, 25,917.14 and 6,034.08 is: 9,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277.60 : 25,917.14 = 6,034.08 : x
  2. Step 2: Convert to fraction form
    17,277.60/25,917.14 = 6,034.08/x
  3. Step 3: Cross multiply
    17,277.60x = 25,917.14 × 6,034.08
  4. Step 4: Simplify right side
    17,277.60x = 156,386,096.13
  5. Step 5: Solve for x
    x = 156,386,096.13/17,277.60
  6. Step 6: Final answer
    x = 9,051.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.