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Finding the Fourth Proportional to 23,406, 32,300.28 and 13,475.76

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Solution

The fourth proportional to 23,406, 32,300.28 and 13,475.76 is: 18,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406 : 32,300.28 = 13,475.76 : x
  2. Step 2: Convert to fraction form
    23,406/32,300.28 = 13,475.76/x
  3. Step 3: Cross multiply
    23,406x = 32,300.28 × 13,475.76
  4. Step 4: Simplify right side
    23,406x = 435,270,821.21
  5. Step 5: Solve for x
    x = 435,270,821.21/23,406
  6. Step 6: Final answer
    x = 18,596.55

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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.