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Finding the Fourth Proportional to 14,503.08, 19,996.74 and 12,261

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Solution

The fourth proportional to 14,503.08, 19,996.74 and 12,261 is: 16,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503.08 : 19,996.74 = 12,261 : x
  2. Step 2: Convert to fraction form
    14,503.08/19,996.74 = 12,261/x
  3. Step 3: Cross multiply
    14,503.08x = 19,996.74 × 12,261
  4. Step 4: Simplify right side
    14,503.08x = 245,180,029.14
  5. Step 5: Solve for x
    x = 245,180,029.14/14,503.08
  6. Step 6: Final answer
    x = 16,905.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.