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Finding the Fourth Proportional to 21,063.06, 31,590.96 and 7,021.50

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Solution

The fourth proportional to 21,063.06, 31,590.96 and 7,021.50 is: 10,531.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,063.06 : 31,590.96 = 7,021.50 : x
  2. Step 2: Convert to fraction form
    21,063.06/31,590.96 = 7,021.50/x
  3. Step 3: Cross multiply
    21,063.06x = 31,590.96 × 7,021.50
  4. Step 4: Simplify right side
    21,063.06x = 221,815,925.64
  5. Step 5: Solve for x
    x = 221,815,925.64/21,063.06
  6. Step 6: Final answer
    x = 10,531.04

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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.