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Finding the Fourth Proportional to 23,708.90, 32,722.95 and 14,144.00

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Solution

The fourth proportional to 23,708.90, 32,722.95 and 14,144.00 is: 19,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,708.90 : 32,722.95 = 14,144.00 : x
  2. Step 2: Convert to fraction form
    23,708.90/32,722.95 = 14,144.00/x
  3. Step 3: Cross multiply
    23,708.90x = 32,722.95 × 14,144.00
  4. Step 4: Simplify right side
    23,708.90x = 462,833,170.47
  5. Step 5: Solve for x
    x = 462,833,170.47/23,708.90
  6. Step 6: Final answer
    x = 19,521.50

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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.