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Finding the Fourth Proportional to 14,206.64, 19,604.06 and 7,833.21

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Solution

The fourth proportional to 14,206.64, 19,604.06 and 7,833.21 is: 10,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.64 : 19,604.06 = 7,833.21 : x
  2. Step 2: Convert to fraction form
    14,206.64/19,604.06 = 7,833.21/x
  3. Step 3: Cross multiply
    14,206.64x = 19,604.06 × 7,833.21
  4. Step 4: Simplify right side
    14,206.64x = 153,562,679.67
  5. Step 5: Solve for x
    x = 153,562,679.67/14,206.64
  6. Step 6: Final answer
    x = 10,809.22

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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.