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Finding the Fourth Proportional to 25,436.32, 35,102.01 and 14,258.32

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Solution

The fourth proportional to 25,436.32, 35,102.01 and 14,258.32 is: 19,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,436.32 : 35,102.01 = 14,258.32 : x
  2. Step 2: Convert to fraction form
    25,436.32/35,102.01 = 14,258.32/x
  3. Step 3: Cross multiply
    25,436.32x = 35,102.01 × 14,258.32
  4. Step 4: Simplify right side
    25,436.32x = 500,495,691.22
  5. Step 5: Solve for x
    x = 500,495,691.22/25,436.32
  6. Step 6: Final answer
    x = 19,676.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.