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Finding the Fourth Proportional to 14,497.83, 19,962.54 and 12,694.98

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Solution

The fourth proportional to 14,497.83, 19,962.54 and 12,694.98 is: 17,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.83 : 19,962.54 = 12,694.98 : x
  2. Step 2: Convert to fraction form
    14,497.83/19,962.54 = 12,694.98/x
  3. Step 3: Cross multiply
    14,497.83x = 19,962.54 × 12,694.98
  4. Step 4: Simplify right side
    14,497.83x = 253,424,046.05
  5. Step 5: Solve for x
    x = 253,424,046.05/14,497.83
  6. Step 6: Final answer
    x = 17,480.14

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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.