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Finding the Fourth Proportional to 15,442.84, 23,164.03 and 4,913.50

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Solution

The fourth proportional to 15,442.84, 23,164.03 and 4,913.50 is: 7,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.84 : 23,164.03 = 4,913.50 : x
  2. Step 2: Convert to fraction form
    15,442.84/23,164.03 = 4,913.50/x
  3. Step 3: Cross multiply
    15,442.84x = 23,164.03 × 4,913.50
  4. Step 4: Simplify right side
    15,442.84x = 113,816,461.41
  5. Step 5: Solve for x
    x = 113,816,461.41/15,442.84
  6. Step 6: Final answer
    x = 7,370.18

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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.