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Finding the Fourth Proportional to 23,487.76, 32,423.28 and 14,054.56

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Solution

The fourth proportional to 23,487.76, 32,423.28 and 14,054.56 is: 19,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487.76 : 32,423.28 = 14,054.56 : x
  2. Step 2: Convert to fraction form
    23,487.76/32,423.28 = 14,054.56/x
  3. Step 3: Cross multiply
    23,487.76x = 32,423.28 × 14,054.56
  4. Step 4: Simplify right side
    23,487.76x = 455,694,934.16
  5. Step 5: Solve for x
    x = 455,694,934.16/23,487.76
  6. Step 6: Final answer
    x = 19,401.38

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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.