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Finding the Fourth Proportional to 14,309.34, 19,746.81 and 8,021.58

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Solution

The fourth proportional to 14,309.34, 19,746.81 and 8,021.58 is: 11,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.34 : 19,746.81 = 8,021.58 : x
  2. Step 2: Convert to fraction form
    14,309.34/19,746.81 = 8,021.58/x
  3. Step 3: Cross multiply
    14,309.34x = 19,746.81 × 8,021.58
  4. Step 4: Simplify right side
    14,309.34x = 158,400,616.16
  5. Step 5: Solve for x
    x = 158,400,616.16/14,309.34
  6. Step 6: Final answer
    x = 11,069.74

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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.