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Finding the Fourth Proportional to 23,605.65, 32,580.16 and 13,534.16

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Solution

The fourth proportional to 23,605.65, 32,580.16 and 13,534.16 is: 18,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,605.65 : 32,580.16 = 13,534.16 : x
  2. Step 2: Convert to fraction form
    23,605.65/32,580.16 = 13,534.16/x
  3. Step 3: Cross multiply
    23,605.65x = 32,580.16 × 13,534.16
  4. Step 4: Simplify right side
    23,605.65x = 440,945,098.27
  5. Step 5: Solve for x
    x = 440,945,098.27/23,605.65
  6. Step 6: Final answer
    x = 18,679.64

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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.