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Finding the Fourth Proportional to 23,580.21, 32,541.21 and 12,970.38

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Solution

The fourth proportional to 23,580.21, 32,541.21 and 12,970.38 is: 17,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.21 : 32,541.21 = 12,970.38 : x
  2. Step 2: Convert to fraction form
    23,580.21/32,541.21 = 12,970.38/x
  3. Step 3: Cross multiply
    23,580.21x = 32,541.21 × 12,970.38
  4. Step 4: Simplify right side
    23,580.21x = 422,071,859.36
  5. Step 5: Solve for x
    x = 422,071,859.36/23,580.21
  6. Step 6: Final answer
    x = 17,899.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.