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Finding the Fourth Proportional to 14,282.84, 19,707.50 and 8,974.58

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Solution

The fourth proportional to 14,282.84, 19,707.50 and 8,974.58 is: 12,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.84 : 19,707.50 = 8,974.58 : x
  2. Step 2: Convert to fraction form
    14,282.84/19,707.50 = 8,974.58/x
  3. Step 3: Cross multiply
    14,282.84x = 19,707.50 × 8,974.58
  4. Step 4: Simplify right side
    14,282.84x = 176,866,535.35
  5. Step 5: Solve for x
    x = 176,866,535.35/14,282.84
  6. Step 6: Final answer
    x = 12,383.15

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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.