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Finding the Fourth Proportional to 14,325, 19,758.40 and 12,432.84

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Solution

The fourth proportional to 14,325, 19,758.40 and 12,432.84 is: 17,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,325 : 19,758.40 = 12,432.84 : x
  2. Step 2: Convert to fraction form
    14,325/19,758.40 = 12,432.84/x
  3. Step 3: Cross multiply
    14,325x = 19,758.40 × 12,432.84
  4. Step 4: Simplify right side
    14,325x = 245,653,025.86
  5. Step 5: Solve for x
    x = 245,653,025.86/14,325
  6. Step 6: Final answer
    x = 17,148.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.