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Finding the Fourth Proportional to 13,900.21, 19,182.36 and 7,932

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Solution

The fourth proportional to 13,900.21, 19,182.36 and 7,932 is: 10,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.21 : 19,182.36 = 7,932 : x
  2. Step 2: Convert to fraction form
    13,900.21/19,182.36 = 7,932/x
  3. Step 3: Cross multiply
    13,900.21x = 19,182.36 × 7,932
  4. Step 4: Simplify right side
    13,900.21x = 152,154,479.52
  5. Step 5: Solve for x
    x = 152,154,479.52/13,900.21
  6. Step 6: Final answer
    x = 10,946.20

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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.