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Finding the Fourth Proportional to 14,556.70, 21,835.05 and 4,702.75

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Solution

The fourth proportional to 14,556.70, 21,835.05 and 4,702.75 is: 7,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.70 : 21,835.05 = 4,702.75 : x
  2. Step 2: Convert to fraction form
    14,556.70/21,835.05 = 4,702.75/x
  3. Step 3: Cross multiply
    14,556.70x = 21,835.05 × 4,702.75
  4. Step 4: Simplify right side
    14,556.70x = 102,684,781.39
  5. Step 5: Solve for x
    x = 102,684,781.39/14,556.70
  6. Step 6: Final answer
    x = 7,054.13

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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.