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Finding the Fourth Proportional to 23,576, 32,534.88 and 12,966.32

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Solution

The fourth proportional to 23,576, 32,534.88 and 12,966.32 is: 17,893.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576 : 32,534.88 = 12,966.32 : x
  2. Step 2: Convert to fraction form
    23,576/32,534.88 = 12,966.32/x
  3. Step 3: Cross multiply
    23,576x = 32,534.88 × 12,966.32
  4. Step 4: Simplify right side
    23,576x = 421,857,665.24
  5. Step 5: Solve for x
    x = 421,857,665.24/23,576
  6. Step 6: Final answer
    x = 17,893.52

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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.