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Finding the Fourth Proportional to 25,724.42, 35,501.07 and 14,393.22

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Solution

The fourth proportional to 25,724.42, 35,501.07 and 14,393.22 is: 19,863.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,724.42 : 35,501.07 = 14,393.22 : x
  2. Step 2: Convert to fraction form
    25,724.42/35,501.07 = 14,393.22/x
  3. Step 3: Cross multiply
    25,724.42x = 35,501.07 × 14,393.22
  4. Step 4: Simplify right side
    25,724.42x = 510,974,710.75
  5. Step 5: Solve for x
    x = 510,974,710.75/25,724.42
  6. Step 6: Final answer
    x = 19,863.41

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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.