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Finding the Fourth Proportional to 23,597.16, 32,564.06 and 12,986.80

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Solution

The fourth proportional to 23,597.16, 32,564.06 and 12,986.80 is: 17,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,597.16 : 32,564.06 = 12,986.80 : x
  2. Step 2: Convert to fraction form
    23,597.16/32,564.06 = 12,986.80/x
  3. Step 3: Cross multiply
    23,597.16x = 32,564.06 × 12,986.80
  4. Step 4: Simplify right side
    23,597.16x = 422,902,934.41
  5. Step 5: Solve for x
    x = 422,902,934.41/23,597.16
  6. Step 6: Final answer
    x = 17,921.77

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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.