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Finding the Fourth Proportional to 25,802.21, 35,607.46 and 14,474.23

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Solution

The fourth proportional to 25,802.21, 35,607.46 and 14,474.23 is: 19,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.21 : 35,607.46 = 14,474.23 : x
  2. Step 2: Convert to fraction form
    25,802.21/35,607.46 = 14,474.23/x
  3. Step 3: Cross multiply
    25,802.21x = 35,607.46 × 14,474.23
  4. Step 4: Simplify right side
    25,802.21x = 515,390,387.72
  5. Step 5: Solve for x
    x = 515,390,387.72/25,802.21
  6. Step 6: Final answer
    x = 19,974.66

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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.