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Finding the Fourth Proportional to 23,576.32, 32,534.04 and 12,964.24

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Solution

The fourth proportional to 23,576.32, 32,534.04 and 12,964.24 is: 17,889.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576.32 : 32,534.04 = 12,964.24 : x
  2. Step 2: Convert to fraction form
    23,576.32/32,534.04 = 12,964.24/x
  3. Step 3: Cross multiply
    23,576.32x = 32,534.04 × 12,964.24
  4. Step 4: Simplify right side
    23,576.32x = 421,779,102.73
  5. Step 5: Solve for x
    x = 421,779,102.73/23,576.32
  6. Step 6: Final answer
    x = 17,889.95

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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.