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Finding the Fourth Proportional to 19,225.34, 28,820.50 and 6,738.50

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Solution

The fourth proportional to 19,225.34, 28,820.50 and 6,738.50 is: 10,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,225.34 : 28,820.50 = 6,738.50 : x
  2. Step 2: Convert to fraction form
    19,225.34/28,820.50 = 6,738.50/x
  3. Step 3: Cross multiply
    19,225.34x = 28,820.50 × 6,738.50
  4. Step 4: Simplify right side
    19,225.34x = 194,206,994.45
  5. Step 5: Solve for x
    x = 194,206,994.45/19,225.34
  6. Step 6: Final answer
    x = 10,101.62

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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.