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Finding the Fourth Proportional to 23,580.17, 32,540.64 and 12,970.52

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Solution

The fourth proportional to 23,580.17, 32,540.64 and 12,970.52 is: 17,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.17 : 32,540.64 = 12,970.52 : x
  2. Step 2: Convert to fraction form
    23,580.17/32,540.64 = 12,970.52/x
  3. Step 3: Cross multiply
    23,580.17x = 32,540.64 × 12,970.52
  4. Step 4: Simplify right side
    23,580.17x = 422,069,021.93
  5. Step 5: Solve for x
    x = 422,069,021.93/23,580.17
  6. Step 6: Final answer
    x = 17,899.32

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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.