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Finding the Fourth Proportional to 23,632.83, 32,612.02 and 13,021.63

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Solution

The fourth proportional to 23,632.83, 32,612.02 and 13,021.63 is: 17,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.83 : 32,612.02 = 13,021.63 : x
  2. Step 2: Convert to fraction form
    23,632.83/32,612.02 = 13,021.63/x
  3. Step 3: Cross multiply
    23,632.83x = 32,612.02 × 13,021.63
  4. Step 4: Simplify right side
    23,632.83x = 424,661,543.91
  5. Step 5: Solve for x
    x = 424,661,543.91/23,632.83
  6. Step 6: Final answer
    x = 17,969.14

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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.