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Finding the Fourth Proportional to 20,577.95, 30,852.87 and 9,898.67

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Solution

The fourth proportional to 20,577.95, 30,852.87 and 9,898.67 is: 14,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.95 : 30,852.87 = 9,898.67 : x
  2. Step 2: Convert to fraction form
    20,577.95/30,852.87 = 9,898.67/x
  3. Step 3: Cross multiply
    20,577.95x = 30,852.87 × 9,898.67
  4. Step 4: Simplify right side
    20,577.95x = 305,402,300.83
  5. Step 5: Solve for x
    x = 305,402,300.83/20,577.95
  6. Step 6: Final answer
    x = 14,841.24

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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.