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Finding the Fourth Proportional to 25,114.86, 37,662.63 and 8,470.44

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Solution

The fourth proportional to 25,114.86, 37,662.63 and 8,470.44 is: 12,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.86 : 37,662.63 = 8,470.44 : x
  2. Step 2: Convert to fraction form
    25,114.86/37,662.63 = 8,470.44/x
  3. Step 3: Cross multiply
    25,114.86x = 37,662.63 × 8,470.44
  4. Step 4: Simplify right side
    25,114.86x = 319,019,047.66
  5. Step 5: Solve for x
    x = 319,019,047.66/25,114.86
  6. Step 6: Final answer
    x = 12,702.40

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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.