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Finding the Fourth Proportional to 22,157.61, 30,577.59 and 12,085.98

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Solution

The fourth proportional to 22,157.61, 30,577.59 and 12,085.98 is: 16,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,157.61 : 30,577.59 = 12,085.98 : x
  2. Step 2: Convert to fraction form
    22,157.61/30,577.59 = 12,085.98/x
  3. Step 3: Cross multiply
    22,157.61x = 30,577.59 × 12,085.98
  4. Step 4: Simplify right side
    22,157.61x = 369,560,141.19
  5. Step 5: Solve for x
    x = 369,560,141.19/22,157.61
  6. Step 6: Final answer
    x = 16,678.70

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