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Finding the Fourth Proportional to 23,615, 32,588.70 and 13,004.61

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Solution

The fourth proportional to 23,615, 32,588.70 and 13,004.61 is: 17,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,615 : 32,588.70 = 13,004.61 : x
  2. Step 2: Convert to fraction form
    23,615/32,588.70 = 13,004.61/x
  3. Step 3: Cross multiply
    23,615x = 32,588.70 × 13,004.61
  4. Step 4: Simplify right side
    23,615x = 423,803,333.91
  5. Step 5: Solve for x
    x = 423,803,333.91/23,615
  6. Step 6: Final answer
    x = 17,946.36

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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.