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Finding the Fourth Proportional to 23,580.71, 32,540.72 and 12,970.36

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Solution

The fourth proportional to 23,580.71, 32,540.72 and 12,970.36 is: 17,898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.71 : 32,540.72 = 12,970.36 : x
  2. Step 2: Convert to fraction form
    23,580.71/32,540.72 = 12,970.36/x
  3. Step 3: Cross multiply
    23,580.71x = 32,540.72 × 12,970.36
  4. Step 4: Simplify right side
    23,580.71x = 422,064,853.06
  5. Step 5: Solve for x
    x = 422,064,853.06/23,580.71
  6. Step 6: Final answer
    x = 17,898.73

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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.