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Finding the Fourth Proportional to 25,525.75, 35,225.49 and 14,194.93

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Solution

The fourth proportional to 25,525.75, 35,225.49 and 14,194.93 is: 19,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,525.75 : 35,225.49 = 14,194.93 : x
  2. Step 2: Convert to fraction form
    25,525.75/35,225.49 = 14,194.93/x
  3. Step 3: Cross multiply
    25,525.75x = 35,225.49 × 14,194.93
  4. Step 4: Simplify right side
    25,525.75x = 500,023,364.77
  5. Step 5: Solve for x
    x = 500,023,364.77/25,525.75
  6. Step 6: Final answer
    x = 19,588.98

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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.