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Finding the Fourth Proportional to 16,887.04, 23,307 and 9,817.56

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Solution

The fourth proportional to 16,887.04, 23,307 and 9,817.56 is: 13,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,887.04 : 23,307 = 9,817.56 : x
  2. Step 2: Convert to fraction form
    16,887.04/23,307 = 9,817.56/x
  3. Step 3: Cross multiply
    16,887.04x = 23,307 × 9,817.56
  4. Step 4: Simplify right side
    16,887.04x = 228,817,870.92
  5. Step 5: Solve for x
    x = 228,817,870.92/16,887.04
  6. Step 6: Final answer
    x = 13,549.91

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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.