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Finding the Fourth Proportional to 23,580.60, 32,540.97 and 12,970.38

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Solution

The fourth proportional to 23,580.60, 32,540.97 and 12,970.38 is: 17,898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.60 : 32,540.97 = 12,970.38 : x
  2. Step 2: Convert to fraction form
    23,580.60/32,540.97 = 12,970.38/x
  3. Step 3: Cross multiply
    23,580.60x = 32,540.97 × 12,970.38
  4. Step 4: Simplify right side
    23,580.60x = 422,068,746.47
  5. Step 5: Solve for x
    x = 422,068,746.47/23,580.60
  6. Step 6: Final answer
    x = 17,898.98

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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.