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Finding the Fourth Proportional to 21,205.60, 31,800.30 and 6,970.76

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Solution

The fourth proportional to 21,205.60, 31,800.30 and 6,970.76 is: 10,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.60 : 31,800.30 = 6,970.76 : x
  2. Step 2: Convert to fraction form
    21,205.60/31,800.30 = 6,970.76/x
  3. Step 3: Cross multiply
    21,205.60x = 31,800.30 × 6,970.76
  4. Step 4: Simplify right side
    21,205.60x = 221,672,193.34
  5. Step 5: Solve for x
    x = 221,672,193.34/21,205.60
  6. Step 6: Final answer
    x = 10,453.48

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