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Finding the Fourth Proportional to 23,615.50, 32,588.90 and 13,005.22

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Solution

The fourth proportional to 23,615.50, 32,588.90 and 13,005.22 is: 17,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,615.50 : 32,588.90 = 13,005.22 : x
  2. Step 2: Convert to fraction form
    23,615.50/32,588.90 = 13,005.22/x
  3. Step 3: Cross multiply
    23,615.50x = 32,588.90 × 13,005.22
  4. Step 4: Simplify right side
    23,615.50x = 423,825,749.03
  5. Step 5: Solve for x
    x = 423,825,749.03/23,615.50
  6. Step 6: Final answer
    x = 17,946.93

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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.