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Finding the Fourth Proportional to 23,905.78, 35,868.76 and 12,809.50

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Solution

The fourth proportional to 23,905.78, 35,868.76 and 12,809.50 is: 19,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,905.78 : 35,868.76 = 12,809.50 : x
  2. Step 2: Convert to fraction form
    23,905.78/35,868.76 = 12,809.50/x
  3. Step 3: Cross multiply
    23,905.78x = 35,868.76 × 12,809.50
  4. Step 4: Simplify right side
    23,905.78x = 459,460,881.22
  5. Step 5: Solve for x
    x = 459,460,881.22/23,905.78
  6. Step 6: Final answer
    x = 19,219.66

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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.