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Finding the Fourth Proportional to 15,797.84, 23,698.14 and 4,111.06

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Solution

The fourth proportional to 15,797.84, 23,698.14 and 4,111.06 is: 6,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797.84 : 23,698.14 = 4,111.06 : x
  2. Step 2: Convert to fraction form
    15,797.84/23,698.14 = 4,111.06/x
  3. Step 3: Cross multiply
    15,797.84x = 23,698.14 × 4,111.06
  4. Step 4: Simplify right side
    15,797.84x = 97,424,475.43
  5. Step 5: Solve for x
    x = 97,424,475.43/15,797.84
  6. Step 6: Final answer
    x = 6,166.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.