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Finding the Fourth Proportional to 14,000.49, 19,320.75 and 7,712.82

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Solution

The fourth proportional to 14,000.49, 19,320.75 and 7,712.82 is: 10,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.49 : 19,320.75 = 7,712.82 : x
  2. Step 2: Convert to fraction form
    14,000.49/19,320.75 = 7,712.82/x
  3. Step 3: Cross multiply
    14,000.49x = 19,320.75 × 7,712.82
  4. Step 4: Simplify right side
    14,000.49x = 149,017,467.02
  5. Step 5: Solve for x
    x = 149,017,467.02/14,000.49
  6. Step 6: Final answer
    x = 10,643.73

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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.