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Finding the Fourth Proportional to 14,182.70, 21,277.13 and 4,321.70

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Solution

The fourth proportional to 14,182.70, 21,277.13 and 4,321.70 is: 6,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.70 : 21,277.13 = 4,321.70 : x
  2. Step 2: Convert to fraction form
    14,182.70/21,277.13 = 4,321.70/x
  3. Step 3: Cross multiply
    14,182.70x = 21,277.13 × 4,321.70
  4. Step 4: Simplify right side
    14,182.70x = 91,953,468.51
  5. Step 5: Solve for x
    x = 91,953,468.51/14,182.70
  6. Step 6: Final answer
    x = 6,483.50

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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.