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Finding the Fourth Proportional to 14,519.49, 21,782.06 and 4,658.01

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Solution

The fourth proportional to 14,519.49, 21,782.06 and 4,658.01 is: 6,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.49 : 21,782.06 = 4,658.01 : x
  2. Step 2: Convert to fraction form
    14,519.49/21,782.06 = 4,658.01/x
  3. Step 3: Cross multiply
    14,519.49x = 21,782.06 × 4,658.01
  4. Step 4: Simplify right side
    14,519.49x = 101,461,053.30
  5. Step 5: Solve for x
    x = 101,461,053.30/14,519.49
  6. Step 6: Final answer
    x = 6,987.92

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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.