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Finding the Fourth Proportional to 23,415.72, 32,313.95 and 12,805.13

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Solution

The fourth proportional to 23,415.72, 32,313.95 and 12,805.13 is: 17,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.72 : 32,313.95 = 12,805.13 : x
  2. Step 2: Convert to fraction form
    23,415.72/32,313.95 = 12,805.13/x
  3. Step 3: Cross multiply
    23,415.72x = 32,313.95 × 12,805.13
  4. Step 4: Simplify right side
    23,415.72x = 413,784,152.99
  5. Step 5: Solve for x
    x = 413,784,152.99/23,415.72
  6. Step 6: Final answer
    x = 17,671.21

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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.