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Finding the Fourth Proportional to 38,580.93, 57,870.78 and 12,285.30

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Solution

The fourth proportional to 38,580.93, 57,870.78 and 12,285.30 is: 18,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580.93 : 57,870.78 = 12,285.30 : x
  2. Step 2: Convert to fraction form
    38,580.93/57,870.78 = 12,285.30/x
  3. Step 3: Cross multiply
    38,580.93x = 57,870.78 × 12,285.30
  4. Step 4: Simplify right side
    38,580.93x = 710,959,893.53
  5. Step 5: Solve for x
    x = 710,959,893.53/38,580.93
  6. Step 6: Final answer
    x = 18,427.75

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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.