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Finding the Fourth Proportional to 12,533.14, 17,256.27 and 10,640.98

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Solution

The fourth proportional to 12,533.14, 17,256.27 and 10,640.98 is: 14,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.14 : 17,256.27 = 10,640.98 : x
  2. Step 2: Convert to fraction form
    12,533.14/17,256.27 = 10,640.98/x
  3. Step 3: Cross multiply
    12,533.14x = 17,256.27 × 10,640.98
  4. Step 4: Simplify right side
    12,533.14x = 183,623,623.94
  5. Step 5: Solve for x
    x = 183,623,623.94/12,533.14
  6. Step 6: Final answer
    x = 14,651.05

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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.