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Finding the Fourth Proportional to 23,580.72, 32,541.48 and 12,970.48

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Solution

The fourth proportional to 23,580.72, 32,541.48 and 12,970.48 is: 17,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.72 : 32,541.48 = 12,970.48 : x
  2. Step 2: Convert to fraction form
    23,580.72/32,541.48 = 12,970.48/x
  3. Step 3: Cross multiply
    23,580.72x = 32,541.48 × 12,970.48
  4. Step 4: Simplify right side
    23,580.72x = 422,078,615.51
  5. Step 5: Solve for x
    x = 422,078,615.51/23,580.72
  6. Step 6: Final answer
    x = 17,899.31

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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.