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Finding the Fourth Proportional to 23,409.92, 32,302.08 and 13,472

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Solution

The fourth proportional to 23,409.92, 32,302.08 and 13,472 is: 18,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.92 : 32,302.08 = 13,472 : x
  2. Step 2: Convert to fraction form
    23,409.92/32,302.08 = 13,472/x
  3. Step 3: Cross multiply
    23,409.92x = 32,302.08 × 13,472
  4. Step 4: Simplify right side
    23,409.92x = 435,173,621.76
  5. Step 5: Solve for x
    x = 435,173,621.76/23,409.92
  6. Step 6: Final answer
    x = 18,589.28

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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.