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Finding the Fourth Proportional to 14,173.76, 21,261.18 and 3,785.51

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Solution

The fourth proportional to 14,173.76, 21,261.18 and 3,785.51 is: 5,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,173.76 : 21,261.18 = 3,785.51 : x
  2. Step 2: Convert to fraction form
    14,173.76/21,261.18 = 3,785.51/x
  3. Step 3: Cross multiply
    14,173.76x = 21,261.18 × 3,785.51
  4. Step 4: Simplify right side
    14,173.76x = 80,484,409.50
  5. Step 5: Solve for x
    x = 80,484,409.50/14,173.76
  6. Step 6: Final answer
    x = 5,678.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.