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Finding the Fourth Proportional to 38,430.89, 57,648.09 and 11,774.96

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Solution

The fourth proportional to 38,430.89, 57,648.09 and 11,774.96 is: 17,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430.89 : 57,648.09 = 11,774.96 : x
  2. Step 2: Convert to fraction form
    38,430.89/57,648.09 = 11,774.96/x
  3. Step 3: Cross multiply
    38,430.89x = 57,648.09 × 11,774.96
  4. Step 4: Simplify right side
    38,430.89x = 678,803,953.83
  5. Step 5: Solve for x
    x = 678,803,953.83/38,430.89
  6. Step 6: Final answer
    x = 17,662.98

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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.