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Finding the Fourth Proportional to 23,614.88, 32,588.53 and 13,004.48

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Solution

The fourth proportional to 23,614.88, 32,588.53 and 13,004.48 is: 17,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.88 : 32,588.53 = 13,004.48 : x
  2. Step 2: Convert to fraction form
    23,614.88/32,588.53 = 13,004.48/x
  3. Step 3: Cross multiply
    23,614.88x = 32,588.53 × 13,004.48
  4. Step 4: Simplify right side
    23,614.88x = 423,796,935.57
  5. Step 5: Solve for x
    x = 423,796,935.57/23,614.88
  6. Step 6: Final answer
    x = 17,946.19

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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.