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Finding the Fourth Proportional to 23,592.30, 32,563.80 and 14,035.80

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Solution

The fourth proportional to 23,592.30, 32,563.80 and 14,035.80 is: 19,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,592.30 : 32,563.80 = 14,035.80 : x
  2. Step 2: Convert to fraction form
    23,592.30/32,563.80 = 14,035.80/x
  3. Step 3: Cross multiply
    23,592.30x = 32,563.80 × 14,035.80
  4. Step 4: Simplify right side
    23,592.30x = 457,058,984.04
  5. Step 5: Solve for x
    x = 457,058,984.04/23,592.30
  6. Step 6: Final answer
    x = 19,373.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.