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Finding the Fourth Proportional to 23,466, 32,409.54 and 15,543.12

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Solution

The fourth proportional to 23,466, 32,409.54 and 15,543.12 is: 21,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466 : 32,409.54 = 15,543.12 : x
  2. Step 2: Convert to fraction form
    23,466/32,409.54 = 15,543.12/x
  3. Step 3: Cross multiply
    23,466x = 32,409.54 × 15,543.12
  4. Step 4: Simplify right side
    23,466x = 503,745,369.36
  5. Step 5: Solve for x
    x = 503,745,369.36/23,466
  6. Step 6: Final answer
    x = 21,467.03

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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.