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Finding the Fourth Proportional to 12,541.25, 18,814.93 and 6,285.74

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Solution

The fourth proportional to 12,541.25, 18,814.93 and 6,285.74 is: 9,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.25 : 18,814.93 = 6,285.74 : x
  2. Step 2: Convert to fraction form
    12,541.25/18,814.93 = 6,285.74/x
  3. Step 3: Cross multiply
    12,541.25x = 18,814.93 × 6,285.74
  4. Step 4: Simplify right side
    12,541.25x = 118,265,648.31
  5. Step 5: Solve for x
    x = 118,265,648.31/12,541.25
  6. Step 6: Final answer
    x = 9,430.13

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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.