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Finding the Fourth Proportional to 14,461.84, 21,662.88 and 12,709.12

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Solution

The fourth proportional to 14,461.84, 21,662.88 and 12,709.12 is: 19,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.84 : 21,662.88 = 12,709.12 : x
  2. Step 2: Convert to fraction form
    14,461.84/21,662.88 = 12,709.12/x
  3. Step 3: Cross multiply
    14,461.84x = 21,662.88 × 12,709.12
  4. Step 4: Simplify right side
    14,461.84x = 275,316,141.47
  5. Step 5: Solve for x
    x = 275,316,141.47/14,461.84
  6. Step 6: Final answer
    x = 19,037.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.