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Finding the Fourth Proportional to 12,706.43, 19,053.63 and 4,698.60

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Solution

The fourth proportional to 12,706.43, 19,053.63 and 4,698.60 is: 7,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.43 : 19,053.63 = 4,698.60 : x
  2. Step 2: Convert to fraction form
    12,706.43/19,053.63 = 4,698.60/x
  3. Step 3: Cross multiply
    12,706.43x = 19,053.63 × 4,698.60
  4. Step 4: Simplify right side
    12,706.43x = 89,525,267.16
  5. Step 5: Solve for x
    x = 89,525,267.16/12,706.43
  6. Step 6: Final answer
    x = 7,045.67

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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.