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Finding the Fourth Proportional to 14,359.24, 19,809.66 and 8,767

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Solution

The fourth proportional to 14,359.24, 19,809.66 and 8,767 is: 12,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,359.24 : 19,809.66 = 8,767 : x
  2. Step 2: Convert to fraction form
    14,359.24/19,809.66 = 8,767/x
  3. Step 3: Cross multiply
    14,359.24x = 19,809.66 × 8,767
  4. Step 4: Simplify right side
    14,359.24x = 173,671,289.22
  5. Step 5: Solve for x
    x = 173,671,289.22/14,359.24
  6. Step 6: Final answer
    x = 12,094.74

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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.