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Finding the Fourth Proportional to 23,415.27, 32,312.68 and 12,804.67

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Solution

The fourth proportional to 23,415.27, 32,312.68 and 12,804.67 is: 17,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.27 : 32,312.68 = 12,804.67 : x
  2. Step 2: Convert to fraction form
    23,415.27/32,312.68 = 12,804.67/x
  3. Step 3: Cross multiply
    23,415.27x = 32,312.68 × 12,804.67
  4. Step 4: Simplify right side
    23,415.27x = 413,753,204.22
  5. Step 5: Solve for x
    x = 413,753,204.22/23,415.27
  6. Step 6: Final answer
    x = 17,670.23

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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.