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Finding the Fourth Proportional to 16,586.00, 22,889.42 and 9,780.29

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Solution

The fourth proportional to 16,586.00, 22,889.42 and 9,780.29 is: 13,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.00 : 22,889.42 = 9,780.29 : x
  2. Step 2: Convert to fraction form
    16,586.00/22,889.42 = 9,780.29/x
  3. Step 3: Cross multiply
    16,586.00x = 22,889.42 × 9,780.29
  4. Step 4: Simplify right side
    16,586.00x = 223,865,253.45
  5. Step 5: Solve for x
    x = 223,865,253.45/16,586.00
  6. Step 6: Final answer
    x = 13,497.24

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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.