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Finding the Fourth Proportional to 28,234.60, 42,368.70 and 10,706.20

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Solution

The fourth proportional to 28,234.60, 42,368.70 and 10,706.20 is: 16,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234.60 : 42,368.70 = 10,706.20 : x
  2. Step 2: Convert to fraction form
    28,234.60/42,368.70 = 10,706.20/x
  3. Step 3: Cross multiply
    28,234.60x = 42,368.70 × 10,706.20
  4. Step 4: Simplify right side
    28,234.60x = 453,607,775.94
  5. Step 5: Solve for x
    x = 453,607,775.94/28,234.60
  6. Step 6: Final answer
    x = 16,065.67

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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.