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Finding the Fourth Proportional to 15,511.50, 23,271.84 and 8,942.40

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Solution

The fourth proportional to 15,511.50, 23,271.84 and 8,942.40 is: 13,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,511.50 : 23,271.84 = 8,942.40 : x
  2. Step 2: Convert to fraction form
    15,511.50/23,271.84 = 8,942.40/x
  3. Step 3: Cross multiply
    15,511.50x = 23,271.84 × 8,942.40
  4. Step 4: Simplify right side
    15,511.50x = 208,106,102.02
  5. Step 5: Solve for x
    x = 208,106,102.02/15,511.50
  6. Step 6: Final answer
    x = 13,416.25

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Why These Related Problems?

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