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Finding the Fourth Proportional to 23,563.34, 35,325.81 and 13,032.93

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Solution

The fourth proportional to 23,563.34, 35,325.81 and 13,032.93 is: 19,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.34 : 35,325.81 = 13,032.93 : x
  2. Step 2: Convert to fraction form
    23,563.34/35,325.81 = 13,032.93/x
  3. Step 3: Cross multiply
    23,563.34x = 35,325.81 × 13,032.93
  4. Step 4: Simplify right side
    23,563.34x = 460,398,808.92
  5. Step 5: Solve for x
    x = 460,398,808.92/23,563.34
  6. Step 6: Final answer
    x = 19,538.78

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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.