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Finding the Fourth Proportional to 12,435.42, 18,652.52 and 4,643.63

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Solution

The fourth proportional to 12,435.42, 18,652.52 and 4,643.63 is: 6,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.42 : 18,652.52 = 4,643.63 : x
  2. Step 2: Convert to fraction form
    12,435.42/18,652.52 = 4,643.63/x
  3. Step 3: Cross multiply
    12,435.42x = 18,652.52 × 4,643.63
  4. Step 4: Simplify right side
    12,435.42x = 86,615,319.79
  5. Step 5: Solve for x
    x = 86,615,319.79/12,435.42
  6. Step 6: Final answer
    x = 6,965.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.