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Finding the Fourth Proportional to 14,658.30, 21,987.45 and 7,746.30

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Solution

The fourth proportional to 14,658.30, 21,987.45 and 7,746.30 is: 11,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.30 : 21,987.45 = 7,746.30 : x
  2. Step 2: Convert to fraction form
    14,658.30/21,987.45 = 7,746.30/x
  3. Step 3: Cross multiply
    14,658.30x = 21,987.45 × 7,746.30
  4. Step 4: Simplify right side
    14,658.30x = 170,321,383.94
  5. Step 5: Solve for x
    x = 170,321,383.94/14,658.30
  6. Step 6: Final answer
    x = 11,619.45

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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.