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Finding the Fourth Proportional to 14,453.84, 21,673.08 and 6,656

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Solution

The fourth proportional to 14,453.84, 21,673.08 and 6,656 is: 9,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453.84 : 21,673.08 = 6,656 : x
  2. Step 2: Convert to fraction form
    14,453.84/21,673.08 = 6,656/x
  3. Step 3: Cross multiply
    14,453.84x = 21,673.08 × 6,656
  4. Step 4: Simplify right side
    14,453.84x = 144,256,020.48
  5. Step 5: Solve for x
    x = 144,256,020.48/14,453.84
  6. Step 6: Final answer
    x = 9,980.46

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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.