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Finding the Fourth Proportional to 14,137.74, 21,175.83 and 12,900.06

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Solution

The fourth proportional to 14,137.74, 21,175.83 and 12,900.06 is: 19,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.74 : 21,175.83 = 12,900.06 : x
  2. Step 2: Convert to fraction form
    14,137.74/21,175.83 = 12,900.06/x
  3. Step 3: Cross multiply
    14,137.74x = 21,175.83 × 12,900.06
  4. Step 4: Simplify right side
    14,137.74x = 273,169,477.55
  5. Step 5: Solve for x
    x = 273,169,477.55/14,137.74
  6. Step 6: Final answer
    x = 19,322.00

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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.