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Finding the Fourth Proportional to 14,266.84, 19,693.66 and 12,772

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Solution

The fourth proportional to 14,266.84, 19,693.66 and 12,772 is: 17,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.84 : 19,693.66 = 12,772 : x
  2. Step 2: Convert to fraction form
    14,266.84/19,693.66 = 12,772/x
  3. Step 3: Cross multiply
    14,266.84x = 19,693.66 × 12,772
  4. Step 4: Simplify right side
    14,266.84x = 251,527,425.52
  5. Step 5: Solve for x
    x = 251,527,425.52/14,266.84
  6. Step 6: Final answer
    x = 17,630.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.