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Finding the Fourth Proportional to 14,478.06, 19,982.84 and 8,814.63

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Solution

The fourth proportional to 14,478.06, 19,982.84 and 8,814.63 is: 12,166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.06 : 19,982.84 = 8,814.63 : x
  2. Step 2: Convert to fraction form
    14,478.06/19,982.84 = 8,814.63/x
  3. Step 3: Cross multiply
    14,478.06x = 19,982.84 × 8,814.63
  4. Step 4: Simplify right side
    14,478.06x = 176,141,263.07
  5. Step 5: Solve for x
    x = 176,141,263.07/14,478.06
  6. Step 6: Final answer
    x = 12,166.09

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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.