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Finding the Fourth Proportional to 23,492.44, 32,407.32 and 19,021.24

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Solution

The fourth proportional to 23,492.44, 32,407.32 and 19,021.24 is: 26,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,492.44 : 32,407.32 = 19,021.24 : x
  2. Step 2: Convert to fraction form
    23,492.44/32,407.32 = 19,021.24/x
  3. Step 3: Cross multiply
    23,492.44x = 32,407.32 × 19,021.24
  4. Step 4: Simplify right side
    23,492.44x = 616,427,411.48
  5. Step 5: Solve for x
    x = 616,427,411.48/23,492.44
  6. Step 6: Final answer
    x = 26,239.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.