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Finding the Fourth Proportional to 24,333.37, 33,577.00 and 14,259.50

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Solution

The fourth proportional to 24,333.37, 33,577.00 and 14,259.50 is: 19,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333.37 : 33,577.00 = 14,259.50 : x
  2. Step 2: Convert to fraction form
    24,333.37/33,577.00 = 14,259.50/x
  3. Step 3: Cross multiply
    24,333.37x = 33,577.00 × 14,259.50
  4. Step 4: Simplify right side
    24,333.37x = 478,791,153.88
  5. Step 5: Solve for x
    x = 478,791,153.88/24,333.37
  6. Step 6: Final answer
    x = 19,676.32

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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.