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Finding the Fourth Proportional to 15,106.84, 22,655.08 and 5,744.60

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Solution

The fourth proportional to 15,106.84, 22,655.08 and 5,744.60 is: 8,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.84 : 22,655.08 = 5,744.60 : x
  2. Step 2: Convert to fraction form
    15,106.84/22,655.08 = 5,744.60/x
  3. Step 3: Cross multiply
    15,106.84x = 22,655.08 × 5,744.60
  4. Step 4: Simplify right side
    15,106.84x = 130,144,372.57
  5. Step 5: Solve for x
    x = 130,144,372.57/15,106.84
  6. Step 6: Final answer
    x = 8,614.93

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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.