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Finding the Fourth Proportional to 23,580.64, 32,541.30 and 12,971.08

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Solution

The fourth proportional to 23,580.64, 32,541.30 and 12,971.08 is: 17,900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.64 : 32,541.30 = 12,971.08 : x
  2. Step 2: Convert to fraction form
    23,580.64/32,541.30 = 12,971.08/x
  3. Step 3: Cross multiply
    23,580.64x = 32,541.30 × 12,971.08
  4. Step 4: Simplify right side
    23,580.64x = 422,095,805.60
  5. Step 5: Solve for x
    x = 422,095,805.60/23,580.64
  6. Step 6: Final answer
    x = 17,900.10

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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.