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Finding the Fourth Proportional to 25,435.28, 35,102.44 and 14,258

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Solution

The fourth proportional to 25,435.28, 35,102.44 and 14,258 is: 19,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.28 : 35,102.44 = 14,258 : x
  2. Step 2: Convert to fraction form
    25,435.28/35,102.44 = 14,258/x
  3. Step 3: Cross multiply
    25,435.28x = 35,102.44 × 14,258
  4. Step 4: Simplify right side
    25,435.28x = 500,490,589.52
  5. Step 5: Solve for x
    x = 500,490,589.52/25,435.28
  6. Step 6: Final answer
    x = 19,677.02

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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.