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Finding the Fourth Proportional to 21,507.84, 29,682 and 12,077.76

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Solution

The fourth proportional to 21,507.84, 29,682 and 12,077.76 is: 16,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.84 : 29,682 = 12,077.76 : x
  2. Step 2: Convert to fraction form
    21,507.84/29,682 = 12,077.76/x
  3. Step 3: Cross multiply
    21,507.84x = 29,682 × 12,077.76
  4. Step 4: Simplify right side
    21,507.84x = 358,492,072.32
  5. Step 5: Solve for x
    x = 358,492,072.32/21,507.84
  6. Step 6: Final answer
    x = 16,667.97

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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.