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Finding the Fourth Proportional to 16,586.21, 22,887.47 and 9,870.76

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Solution

The fourth proportional to 16,586.21, 22,887.47 and 9,870.76 is: 13,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.21 : 22,887.47 = 9,870.76 : x
  2. Step 2: Convert to fraction form
    16,586.21/22,887.47 = 9,870.76/x
  3. Step 3: Cross multiply
    16,586.21x = 22,887.47 × 9,870.76
  4. Step 4: Simplify right side
    16,586.21x = 225,916,592.40
  5. Step 5: Solve for x
    x = 225,916,592.40/16,586.21
  6. Step 6: Final answer
    x = 13,620.75

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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.