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Finding the Fourth Proportional to 16,516.49, 22,785.32 and 9,802.40

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Solution

The fourth proportional to 16,516.49, 22,785.32 and 9,802.40 is: 13,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.49 : 22,785.32 = 9,802.40 : x
  2. Step 2: Convert to fraction form
    16,516.49/22,785.32 = 9,802.40/x
  3. Step 3: Cross multiply
    16,516.49x = 22,785.32 × 9,802.40
  4. Step 4: Simplify right side
    16,516.49x = 223,350,771.76
  5. Step 5: Solve for x
    x = 223,350,771.76/16,516.49
  6. Step 6: Final answer
    x = 13,522.90

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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.