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Finding the Fourth Proportional to 14,285.94, 19,666.95 and 12,288.48

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Solution

The fourth proportional to 14,285.94, 19,666.95 and 12,288.48 is: 16,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.94 : 19,666.95 = 12,288.48 : x
  2. Step 2: Convert to fraction form
    14,285.94/19,666.95 = 12,288.48/x
  3. Step 3: Cross multiply
    14,285.94x = 19,666.95 × 12,288.48
  4. Step 4: Simplify right side
    14,285.94x = 241,676,921.74
  5. Step 5: Solve for x
    x = 241,676,921.74/14,285.94
  6. Step 6: Final answer
    x = 16,917.12

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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.