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Finding the Fourth Proportional to 17,254.78, 25,875.78 and 6,158.50

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Solution

The fourth proportional to 17,254.78, 25,875.78 and 6,158.50 is: 9,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,254.78 : 25,875.78 = 6,158.50 : x
  2. Step 2: Convert to fraction form
    17,254.78/25,875.78 = 6,158.50/x
  3. Step 3: Cross multiply
    17,254.78x = 25,875.78 × 6,158.50
  4. Step 4: Simplify right side
    17,254.78x = 159,355,991.13
  5. Step 5: Solve for x
    x = 159,355,991.13/17,254.78
  6. Step 6: Final answer
    x = 9,235.47

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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.