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Finding the Fourth Proportional to 23,263.72, 32,100.42 and 14,312.68

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Solution

The fourth proportional to 23,263.72, 32,100.42 and 14,312.68 is: 19,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,263.72 : 32,100.42 = 14,312.68 : x
  2. Step 2: Convert to fraction form
    23,263.72/32,100.42 = 14,312.68/x
  3. Step 3: Cross multiply
    23,263.72x = 32,100.42 × 14,312.68
  4. Step 4: Simplify right side
    23,263.72x = 459,443,039.33
  5. Step 5: Solve for x
    x = 459,443,039.33/23,263.72
  6. Step 6: Final answer
    x = 19,749.34

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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.