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Finding the Fourth Proportional to 23,614.76, 32,588.88 and 13,004.84

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Solution

The fourth proportional to 23,614.76, 32,588.88 and 13,004.84 is: 17,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.76 : 32,588.88 = 13,004.84 : x
  2. Step 2: Convert to fraction form
    23,614.76/32,588.88 = 13,004.84/x
  3. Step 3: Cross multiply
    23,614.76x = 32,588.88 × 13,004.84
  4. Step 4: Simplify right side
    23,614.76x = 423,813,170.18
  5. Step 5: Solve for x
    x = 423,813,170.18/23,614.76
  6. Step 6: Final answer
    x = 17,946.96

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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.