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Finding the Fourth Proportional to 14,278.61, 21,315.72 and 12,410.78

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Solution

The fourth proportional to 14,278.61, 21,315.72 and 12,410.78 is: 18,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.61 : 21,315.72 = 12,410.78 : x
  2. Step 2: Convert to fraction form
    14,278.61/21,315.72 = 12,410.78/x
  3. Step 3: Cross multiply
    14,278.61x = 21,315.72 × 12,410.78
  4. Step 4: Simplify right side
    14,278.61x = 264,544,764.75
  5. Step 5: Solve for x
    x = 264,544,764.75/14,278.61
  6. Step 6: Final answer
    x = 18,527.34

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