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Finding the Fourth Proportional to 12,360.36, 18,535.68 and 5,430

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Solution

The fourth proportional to 12,360.36, 18,535.68 and 5,430 is: 8,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,360.36 : 18,535.68 = 5,430 : x
  2. Step 2: Convert to fraction form
    12,360.36/18,535.68 = 5,430/x
  3. Step 3: Cross multiply
    12,360.36x = 18,535.68 × 5,430
  4. Step 4: Simplify right side
    12,360.36x = 100,648,742.40
  5. Step 5: Solve for x
    x = 100,648,742.40/12,360.36
  6. Step 6: Final answer
    x = 8,142.86

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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.