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Finding the Fourth Proportional to 18,758.24, 25,885.40 and 10,258.71

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Solution

The fourth proportional to 18,758.24, 25,885.40 and 10,258.71 is: 14,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,758.24 : 25,885.40 = 10,258.71 : x
  2. Step 2: Convert to fraction form
    18,758.24/25,885.40 = 10,258.71/x
  3. Step 3: Cross multiply
    18,758.24x = 25,885.40 × 10,258.71
  4. Step 4: Simplify right side
    18,758.24x = 265,550,811.83
  5. Step 5: Solve for x
    x = 265,550,811.83/18,758.24
  6. Step 6: Final answer
    x = 14,156.49

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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.