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Finding the Fourth Proportional to 23,574, 32,532.12 and 12,964.32

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Solution

The fourth proportional to 23,574, 32,532.12 and 12,964.32 is: 17,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574 : 32,532.12 = 12,964.32 : x
  2. Step 2: Convert to fraction form
    23,574/32,532.12 = 12,964.32/x
  3. Step 3: Cross multiply
    23,574x = 32,532.12 × 12,964.32
  4. Step 4: Simplify right side
    23,574x = 421,756,813.96
  5. Step 5: Solve for x
    x = 421,756,813.96/23,574
  6. Step 6: Final answer
    x = 17,890.76

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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.