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Finding the Fourth Proportional to 14,280.25, 19,706.02 and 7,819.72

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Solution

The fourth proportional to 14,280.25, 19,706.02 and 7,819.72 is: 10,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,280.25 : 19,706.02 = 7,819.72 : x
  2. Step 2: Convert to fraction form
    14,280.25/19,706.02 = 7,819.72/x
  3. Step 3: Cross multiply
    14,280.25x = 19,706.02 × 7,819.72
  4. Step 4: Simplify right side
    14,280.25x = 154,095,558.71
  5. Step 5: Solve for x
    x = 154,095,558.71/14,280.25
  6. Step 6: Final answer
    x = 10,790.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.