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Finding the Fourth Proportional to 14,389.83, 19,867.76 and 9,014.49

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Solution

The fourth proportional to 14,389.83, 19,867.76 and 9,014.49 is: 12,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.83 : 19,867.76 = 9,014.49 : x
  2. Step 2: Convert to fraction form
    14,389.83/19,867.76 = 9,014.49/x
  3. Step 3: Cross multiply
    14,389.83x = 19,867.76 × 9,014.49
  4. Step 4: Simplify right side
    14,389.83x = 179,097,687.22
  5. Step 5: Solve for x
    x = 179,097,687.22/14,389.83
  6. Step 6: Final answer
    x = 12,446.13

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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.