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Finding the Fourth Proportional to 16,597.76, 22,902.33 and 9,522.81

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Solution

The fourth proportional to 16,597.76, 22,902.33 and 9,522.81 is: 13,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597.76 : 22,902.33 = 9,522.81 : x
  2. Step 2: Convert to fraction form
    16,597.76/22,902.33 = 9,522.81/x
  3. Step 3: Cross multiply
    16,597.76x = 22,902.33 × 9,522.81
  4. Step 4: Simplify right side
    16,597.76x = 218,094,537.15
  5. Step 5: Solve for x
    x = 218,094,537.15/16,597.76
  6. Step 6: Final answer
    x = 13,140.00

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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.