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Finding the Fourth Proportional to 13,724.71, 18,938.58 and 7,756.36

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Solution

The fourth proportional to 13,724.71, 18,938.58 and 7,756.36 is: 10,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.71 : 18,938.58 = 7,756.36 : x
  2. Step 2: Convert to fraction form
    13,724.71/18,938.58 = 7,756.36/x
  3. Step 3: Cross multiply
    13,724.71x = 18,938.58 × 7,756.36
  4. Step 4: Simplify right side
    13,724.71x = 146,894,444.37
  5. Step 5: Solve for x
    x = 146,894,444.37/13,724.71
  6. Step 6: Final answer
    x = 10,702.92

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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.