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Finding the Fourth Proportional to 13,992.32, 19,303.28 and 9,206.12

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Solution

The fourth proportional to 13,992.32, 19,303.28 and 9,206.12 is: 12,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.32 : 19,303.28 = 9,206.12 : x
  2. Step 2: Convert to fraction form
    13,992.32/19,303.28 = 9,206.12/x
  3. Step 3: Cross multiply
    13,992.32x = 19,303.28 × 9,206.12
  4. Step 4: Simplify right side
    13,992.32x = 177,708,169.53
  5. Step 5: Solve for x
    x = 177,708,169.53/13,992.32
  6. Step 6: Final answer
    x = 12,700.41

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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.