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Finding the Fourth Proportional to 14,864.73, 20,509.25 and 9,196.76

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Solution

The fourth proportional to 14,864.73, 20,509.25 and 9,196.76 is: 12,689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.73 : 20,509.25 = 9,196.76 : x
  2. Step 2: Convert to fraction form
    14,864.73/20,509.25 = 9,196.76/x
  3. Step 3: Cross multiply
    14,864.73x = 20,509.25 × 9,196.76
  4. Step 4: Simplify right side
    14,864.73x = 188,618,501.50
  5. Step 5: Solve for x
    x = 188,618,501.50/14,864.73
  6. Step 6: Final answer
    x = 12,689.00

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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.