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Finding the Fourth Proportional to 12,970.63, 17,896.59 and 7,662.70

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Solution

The fourth proportional to 12,970.63, 17,896.59 and 7,662.70 is: 10,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.63 : 17,896.59 = 7,662.70 : x
  2. Step 2: Convert to fraction form
    12,970.63/17,896.59 = 7,662.70/x
  3. Step 3: Cross multiply
    12,970.63x = 17,896.59 × 7,662.70
  4. Step 4: Simplify right side
    12,970.63x = 137,136,200.19
  5. Step 5: Solve for x
    x = 137,136,200.19/12,970.63
  6. Step 6: Final answer
    x = 10,572.82

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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.