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Finding the Fourth Proportional to 15,862.86, 23,795.46 and 4,176

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Solution

The fourth proportional to 15,862.86, 23,795.46 and 4,176 is: 6,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.86 : 23,795.46 = 4,176 : x
  2. Step 2: Convert to fraction form
    15,862.86/23,795.46 = 4,176/x
  3. Step 3: Cross multiply
    15,862.86x = 23,795.46 × 4,176
  4. Step 4: Simplify right side
    15,862.86x = 99,369,840.96
  5. Step 5: Solve for x
    x = 99,369,840.96/15,862.86
  6. Step 6: Final answer
    x = 6,264.31

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