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Finding the Fourth Proportional to 14,291.92, 19,719.46 and 8,320

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Solution

The fourth proportional to 14,291.92, 19,719.46 and 8,320 is: 11,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.92 : 19,719.46 = 8,320 : x
  2. Step 2: Convert to fraction form
    14,291.92/19,719.46 = 8,320/x
  3. Step 3: Cross multiply
    14,291.92x = 19,719.46 × 8,320
  4. Step 4: Simplify right side
    14,291.92x = 164,065,907.20
  5. Step 5: Solve for x
    x = 164,065,907.20/14,291.92
  6. Step 6: Final answer
    x = 11,479.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.