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Finding the Fourth Proportional to 22,446, 33,670.03 and 8,402.40

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Solution

The fourth proportional to 22,446, 33,670.03 and 8,402.40 is: 12,603.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446 : 33,670.03 = 8,402.40 : x
  2. Step 2: Convert to fraction form
    22,446/33,670.03 = 8,402.40/x
  3. Step 3: Cross multiply
    22,446x = 33,670.03 × 8,402.40
  4. Step 4: Simplify right side
    22,446x = 282,909,018.06
  5. Step 5: Solve for x
    x = 282,909,018.06/22,446
  6. Step 6: Final answer
    x = 12,603.98

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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.