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Finding the Fourth Proportional to 14,278.68, 21,315.82 and 12,410.84

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Solution

The fourth proportional to 14,278.68, 21,315.82 and 12,410.84 is: 18,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.68 : 21,315.82 = 12,410.84 : x
  2. Step 2: Convert to fraction form
    14,278.68/21,315.82 = 12,410.84/x
  3. Step 3: Cross multiply
    14,278.68x = 21,315.82 × 12,410.84
  4. Step 4: Simplify right side
    14,278.68x = 264,547,231.49
  5. Step 5: Solve for x
    x = 264,547,231.49/14,278.68
  6. Step 6: Final answer
    x = 18,527.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.