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Finding the Fourth Proportional to 12,429.60, 18,644.40 and 4,637.40

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Solution

The fourth proportional to 12,429.60, 18,644.40 and 4,637.40 is: 6,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.60 : 18,644.40 = 4,637.40 : x
  2. Step 2: Convert to fraction form
    12,429.60/18,644.40 = 4,637.40/x
  3. Step 3: Cross multiply
    12,429.60x = 18,644.40 × 4,637.40
  4. Step 4: Simplify right side
    12,429.60x = 86,461,540.56
  5. Step 5: Solve for x
    x = 86,461,540.56/12,429.60
  6. Step 6: Final answer
    x = 6,956.10

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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.