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Finding the Fourth Proportional to 12,607.20, 18,925.20 and 7,682.40

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Solution

The fourth proportional to 12,607.20, 18,925.20 and 7,682.40 is: 11,532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.20 : 18,925.20 = 7,682.40 : x
  2. Step 2: Convert to fraction form
    12,607.20/18,925.20 = 7,682.40/x
  3. Step 3: Cross multiply
    12,607.20x = 18,925.20 × 7,682.40
  4. Step 4: Simplify right side
    12,607.20x = 145,390,956.48
  5. Step 5: Solve for x
    x = 145,390,956.48/12,607.20
  6. Step 6: Final answer
    x = 11,532.37

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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.