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Finding the Fourth Proportional to 14,257.12, 21,464.92 and 12,352

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Solution

The fourth proportional to 14,257.12, 21,464.92 and 12,352 is: 18,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.12 : 21,464.92 = 12,352 : x
  2. Step 2: Convert to fraction form
    14,257.12/21,464.92 = 12,352/x
  3. Step 3: Cross multiply
    14,257.12x = 21,464.92 × 12,352
  4. Step 4: Simplify right side
    14,257.12x = 265,134,691.84
  5. Step 5: Solve for x
    x = 265,134,691.84/14,257.12
  6. Step 6: Final answer
    x = 18,596.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.