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Finding the Fourth Proportional to 13,880.63, 19,155.57 and 7,593

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Solution

The fourth proportional to 13,880.63, 19,155.57 and 7,593 is: 10,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.63 : 19,155.57 = 7,593 : x
  2. Step 2: Convert to fraction form
    13,880.63/19,155.57 = 7,593/x
  3. Step 3: Cross multiply
    13,880.63x = 19,155.57 × 7,593
  4. Step 4: Simplify right side
    13,880.63x = 145,448,243.01
  5. Step 5: Solve for x
    x = 145,448,243.01/13,880.63
  6. Step 6: Final answer
    x = 10,478.51

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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.