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Finding the Fourth Proportional to 15,762, 23,647.06 and 5,901.42

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Solution

The fourth proportional to 15,762, 23,647.06 and 5,901.42 is: 8,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762 : 23,647.06 = 5,901.42 : x
  2. Step 2: Convert to fraction form
    15,762/23,647.06 = 5,901.42/x
  3. Step 3: Cross multiply
    15,762x = 23,647.06 × 5,901.42
  4. Step 4: Simplify right side
    15,762x = 139,551,232.83
  5. Step 5: Solve for x
    x = 139,551,232.83/15,762
  6. Step 6: Final answer
    x = 8,853.65

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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.