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Finding the Fourth Proportional to 22,482.42, 33,738.64 and 9,334.77

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Solution

The fourth proportional to 22,482.42, 33,738.64 and 9,334.77 is: 14,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482.42 : 33,738.64 = 9,334.77 : x
  2. Step 2: Convert to fraction form
    22,482.42/33,738.64 = 9,334.77/x
  3. Step 3: Cross multiply
    22,482.42x = 33,738.64 × 9,334.77
  4. Step 4: Simplify right side
    22,482.42x = 314,942,444.51
  5. Step 5: Solve for x
    x = 314,942,444.51/22,482.42
  6. Step 6: Final answer
    x = 14,008.39

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