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Finding the Fourth Proportional to 13,753.63, 18,980.03 and 7,466

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Solution

The fourth proportional to 13,753.63, 18,980.03 and 7,466 is: 10,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.63 : 18,980.03 = 7,466 : x
  2. Step 2: Convert to fraction form
    13,753.63/18,980.03 = 7,466/x
  3. Step 3: Cross multiply
    13,753.63x = 18,980.03 × 7,466
  4. Step 4: Simplify right side
    13,753.63x = 141,704,866.65
  5. Step 5: Solve for x
    x = 141,704,866.65/13,753.63
  6. Step 6: Final answer
    x = 10,303.09

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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.