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Finding the Fourth Proportional to 24,692.84, 37,031.58 and 8,273

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Solution

The fourth proportional to 24,692.84, 37,031.58 and 8,273 is: 12,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.84 : 37,031.58 = 8,273 : x
  2. Step 2: Convert to fraction form
    24,692.84/37,031.58 = 8,273/x
  3. Step 3: Cross multiply
    24,692.84x = 37,031.58 × 8,273
  4. Step 4: Simplify right side
    24,692.84x = 306,362,261.34
  5. Step 5: Solve for x
    x = 306,362,261.34/24,692.84
  6. Step 6: Final answer
    x = 12,406.93

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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.