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Finding the Fourth Proportional to 14,648.62, 21,954.66 and 7,146.00

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Solution

The fourth proportional to 14,648.62, 21,954.66 and 7,146.00 is: 10,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.62 : 21,954.66 = 7,146.00 : x
  2. Step 2: Convert to fraction form
    14,648.62/21,954.66 = 7,146.00/x
  3. Step 3: Cross multiply
    14,648.62x = 21,954.66 × 7,146.00
  4. Step 4: Simplify right side
    14,648.62x = 156,887,854.86
  5. Step 5: Solve for x
    x = 156,887,854.86/14,648.62
  6. Step 6: Final answer
    x = 10,710.08

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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.