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Finding the Fourth Proportional to 14,206.84, 19,604.52 and 7,833.08

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Solution

The fourth proportional to 14,206.84, 19,604.52 and 7,833.08 is: 10,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.84 : 19,604.52 = 7,833.08 : x
  2. Step 2: Convert to fraction form
    14,206.84/19,604.52 = 7,833.08/x
  3. Step 3: Cross multiply
    14,206.84x = 19,604.52 × 7,833.08
  4. Step 4: Simplify right side
    14,206.84x = 153,563,822.53
  5. Step 5: Solve for x
    x = 153,563,822.53/14,206.84
  6. Step 6: Final answer
    x = 10,809.15

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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.