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Finding the Fourth Proportional to 15,954.36, 23,921.86 and 6,094.36

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Solution

The fourth proportional to 15,954.36, 23,921.86 and 6,094.36 is: 9,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.36 : 23,921.86 = 6,094.36 : x
  2. Step 2: Convert to fraction form
    15,954.36/23,921.86 = 6,094.36/x
  3. Step 3: Cross multiply
    15,954.36x = 23,921.86 × 6,094.36
  4. Step 4: Simplify right side
    15,954.36x = 145,788,426.71
  5. Step 5: Solve for x
    x = 145,788,426.71/15,954.36
  6. Step 6: Final answer
    x = 9,137.84

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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.