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Finding the Fourth Proportional to 25,292.25, 34,903.44 and 14,114.25

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Solution

The fourth proportional to 25,292.25, 34,903.44 and 14,114.25 is: 19,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,292.25 : 34,903.44 = 14,114.25 : x
  2. Step 2: Convert to fraction form
    25,292.25/34,903.44 = 14,114.25/x
  3. Step 3: Cross multiply
    25,292.25x = 34,903.44 × 14,114.25
  4. Step 4: Simplify right side
    25,292.25x = 492,635,878.02
  5. Step 5: Solve for x
    x = 492,635,878.02/25,292.25
  6. Step 6: Final answer
    x = 19,477.74

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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.