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Finding the Fourth Proportional to 16,840.81, 23,256.03 and 10,564.12

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Solution

The fourth proportional to 16,840.81, 23,256.03 and 10,564.12 is: 14,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,840.81 : 23,256.03 = 10,564.12 : x
  2. Step 2: Convert to fraction form
    16,840.81/23,256.03 = 10,564.12/x
  3. Step 3: Cross multiply
    16,840.81x = 23,256.03 × 10,564.12
  4. Step 4: Simplify right side
    16,840.81x = 245,679,491.64
  5. Step 5: Solve for x
    x = 245,679,491.64/16,840.81
  6. Step 6: Final answer
    x = 14,588.34

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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.