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Finding the Fourth Proportional to 25,415.74, 35,073.92 and 14,085.42

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Solution

The fourth proportional to 25,415.74, 35,073.92 and 14,085.42 is: 19,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,415.74 : 35,073.92 = 14,085.42 : x
  2. Step 2: Convert to fraction form
    25,415.74/35,073.92 = 14,085.42/x
  3. Step 3: Cross multiply
    25,415.74x = 35,073.92 × 14,085.42
  4. Step 4: Simplify right side
    25,415.74x = 494,030,894.25
  5. Step 5: Solve for x
    x = 494,030,894.25/25,415.74
  6. Step 6: Final answer
    x = 19,437.99

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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.