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Finding the Fourth Proportional to 14,064.62, 21,103.79 and 5,746.95

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Solution

The fourth proportional to 14,064.62, 21,103.79 and 5,746.95 is: 8,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.62 : 21,103.79 = 5,746.95 : x
  2. Step 2: Convert to fraction form
    14,064.62/21,103.79 = 5,746.95/x
  3. Step 3: Cross multiply
    14,064.62x = 21,103.79 × 5,746.95
  4. Step 4: Simplify right side
    14,064.62x = 121,282,397.21
  5. Step 5: Solve for x
    x = 121,282,397.21/14,064.62
  6. Step 6: Final answer
    x = 8,623.23

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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.