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Finding the Fourth Proportional to 14,456.30, 20,277.70 and 14,456.30

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Solution

The fourth proportional to 14,456.30, 20,277.70 and 14,456.30 is: 20,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.30 : 20,277.70 = 14,456.30 : x
  2. Step 2: Convert to fraction form
    14,456.30/20,277.70 = 14,456.30/x
  3. Step 3: Cross multiply
    14,456.30x = 20,277.70 × 14,456.30
  4. Step 4: Simplify right side
    14,456.30x = 293,140,514.51
  5. Step 5: Solve for x
    x = 293,140,514.51/14,456.30
  6. Step 6: Final answer
    x = 20,277.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.