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Finding the Fourth Proportional to 28,211.76, 42,312.15 and 10,683

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Solution

The fourth proportional to 28,211.76, 42,312.15 and 10,683 is: 16,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,211.76 : 42,312.15 = 10,683 : x
  2. Step 2: Convert to fraction form
    28,211.76/42,312.15 = 10,683/x
  3. Step 3: Cross multiply
    28,211.76x = 42,312.15 × 10,683
  4. Step 4: Simplify right side
    28,211.76x = 452,020,698.45
  5. Step 5: Solve for x
    x = 452,020,698.45/28,211.76
  6. Step 6: Final answer
    x = 16,022.42

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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.