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Finding the Fourth Proportional to 18,686.45, 25,787.50 and 10,188.50

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Solution

The fourth proportional to 18,686.45, 25,787.50 and 10,188.50 is: 14,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,686.45 : 25,787.50 = 10,188.50 : x
  2. Step 2: Convert to fraction form
    18,686.45/25,787.50 = 10,188.50/x
  3. Step 3: Cross multiply
    18,686.45x = 25,787.50 × 10,188.50
  4. Step 4: Simplify right side
    18,686.45x = 262,736,040.06
  5. Step 5: Solve for x
    x = 262,736,040.06/18,686.45
  6. Step 6: Final answer
    x = 14,060.24

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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.