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Finding the Fourth Proportional to 11,477.60, 16,103.20 and 11,477.60

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Solution

The fourth proportional to 11,477.60, 16,103.20 and 11,477.60 is: 16,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.60 : 16,103.20 = 11,477.60 : x
  2. Step 2: Convert to fraction form
    11,477.60/16,103.20 = 11,477.60/x
  3. Step 3: Cross multiply
    11,477.60x = 16,103.20 × 11,477.60
  4. Step 4: Simplify right side
    11,477.60x = 184,826,088.32
  5. Step 5: Solve for x
    x = 184,826,088.32/11,477.60
  6. Step 6: Final answer
    x = 16,103.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.