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Finding the Fourth Proportional to 13,754, 18,980.48 and 7,466.33

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Solution

The fourth proportional to 13,754, 18,980.48 and 7,466.33 is: 10,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754 : 18,980.48 = 7,466.33 : x
  2. Step 2: Convert to fraction form
    13,754/18,980.48 = 7,466.33/x
  3. Step 3: Cross multiply
    13,754x = 18,980.48 × 7,466.33
  4. Step 4: Simplify right side
    13,754x = 141,714,489.91
  5. Step 5: Solve for x
    x = 141,714,489.91/13,754
  6. Step 6: Final answer
    x = 10,303.51

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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.