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Finding the Fourth Proportional to 19,632.96, 27,056.16 and 14,034.24

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Solution

The fourth proportional to 19,632.96, 27,056.16 and 14,034.24 is: 19,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632.96 : 27,056.16 = 14,034.24 : x
  2. Step 2: Convert to fraction form
    19,632.96/27,056.16 = 14,034.24/x
  3. Step 3: Cross multiply
    19,632.96x = 27,056.16 × 14,034.24
  4. Step 4: Simplify right side
    19,632.96x = 379,712,642.92
  5. Step 5: Solve for x
    x = 379,712,642.92/19,632.96
  6. Step 6: Final answer
    x = 19,340.57

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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.