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Finding the Fourth Proportional to 16,880.10, 23,290.86 and 9,802.74

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Solution

The fourth proportional to 16,880.10, 23,290.86 and 9,802.74 is: 13,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,880.10 : 23,290.86 = 9,802.74 : x
  2. Step 2: Convert to fraction form
    16,880.10/23,290.86 = 9,802.74/x
  3. Step 3: Cross multiply
    16,880.10x = 23,290.86 × 9,802.74
  4. Step 4: Simplify right side
    16,880.10x = 228,314,244.96
  5. Step 5: Solve for x
    x = 228,314,244.96/16,880.10
  6. Step 6: Final answer
    x = 13,525.65

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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.