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Finding the Fourth Proportional to 14,658.74, 21,985.88 and 4,797.80

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Solution

The fourth proportional to 14,658.74, 21,985.88 and 4,797.80 is: 7,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.74 : 21,985.88 = 4,797.80 : x
  2. Step 2: Convert to fraction form
    14,658.74/21,985.88 = 4,797.80/x
  3. Step 3: Cross multiply
    14,658.74x = 21,985.88 × 4,797.80
  4. Step 4: Simplify right side
    14,658.74x = 105,483,855.06
  5. Step 5: Solve for x
    x = 105,483,855.06/14,658.74
  6. Step 6: Final answer
    x = 7,195.97

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Why These Related Problems?

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