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Finding the Fourth Proportional to 25,137.18, 37,705.86 and 8,497.35

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Solution

The fourth proportional to 25,137.18, 37,705.86 and 8,497.35 is: 12,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,137.18 : 37,705.86 = 8,497.35 : x
  2. Step 2: Convert to fraction form
    25,137.18/37,705.86 = 8,497.35/x
  3. Step 3: Cross multiply
    25,137.18x = 37,705.86 × 8,497.35
  4. Step 4: Simplify right side
    25,137.18x = 320,399,889.47
  5. Step 5: Solve for x
    x = 320,399,889.47/25,137.18
  6. Step 6: Final answer
    x = 12,746.06

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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.