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Finding the Fourth Proportional to 25,774.77, 38,674.35 and 14,087.64

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Solution

The fourth proportional to 25,774.77, 38,674.35 and 14,087.64 is: 21,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774.77 : 38,674.35 = 14,087.64 : x
  2. Step 2: Convert to fraction form
    25,774.77/38,674.35 = 14,087.64/x
  3. Step 3: Cross multiply
    25,774.77x = 38,674.35 × 14,087.64
  4. Step 4: Simplify right side
    25,774.77x = 544,830,320.03
  5. Step 5: Solve for x
    x = 544,830,320.03/25,774.77
  6. Step 6: Final answer
    x = 21,138.13

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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.