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Finding the Fourth Proportional to 23,830.78, 35,722.93 and 11,347.45

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Solution

The fourth proportional to 23,830.78, 35,722.93 and 11,347.45 is: 17,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.78 : 35,722.93 = 11,347.45 : x
  2. Step 2: Convert to fraction form
    23,830.78/35,722.93 = 11,347.45/x
  3. Step 3: Cross multiply
    23,830.78x = 35,722.93 × 11,347.45
  4. Step 4: Simplify right side
    23,830.78x = 405,364,162.03
  5. Step 5: Solve for x
    x = 405,364,162.03/23,830.78
  6. Step 6: Final answer
    x = 17,010.11

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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.