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Finding the Fourth Proportional to 12,603.40, 18,905.10 and 5,205.40

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Solution

The fourth proportional to 12,603.40, 18,905.10 and 5,205.40 is: 7,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.40 : 18,905.10 = 5,205.40 : x
  2. Step 2: Convert to fraction form
    12,603.40/18,905.10 = 5,205.40/x
  3. Step 3: Cross multiply
    12,603.40x = 18,905.10 × 5,205.40
  4. Step 4: Simplify right side
    12,603.40x = 98,408,607.54
  5. Step 5: Solve for x
    x = 98,408,607.54/12,603.40
  6. Step 6: Final answer
    x = 7,808.10

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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.