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Finding the Fourth Proportional to 16,516, 22,792.56 and 9,064.48

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Solution

The fourth proportional to 16,516, 22,792.56 and 9,064.48 is: 12,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516 : 22,792.56 = 9,064.48 : x
  2. Step 2: Convert to fraction form
    16,516/22,792.56 = 9,064.48/x
  3. Step 3: Cross multiply
    16,516x = 22,792.56 × 9,064.48
  4. Step 4: Simplify right side
    16,516x = 206,602,704.27
  5. Step 5: Solve for x
    x = 206,602,704.27/16,516
  6. Step 6: Final answer
    x = 12,509.25

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Why These Related Problems?

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