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Finding the Fourth Proportional to 12,004.08, 16,477.50 and 10,648.16

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Solution

The fourth proportional to 12,004.08, 16,477.50 and 10,648.16 is: 14,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.08 : 16,477.50 = 10,648.16 : x
  2. Step 2: Convert to fraction form
    12,004.08/16,477.50 = 10,648.16/x
  3. Step 3: Cross multiply
    12,004.08x = 16,477.50 × 10,648.16
  4. Step 4: Simplify right side
    12,004.08x = 175,455,056.40
  5. Step 5: Solve for x
    x = 175,455,056.40/12,004.08
  6. Step 6: Final answer
    x = 14,616.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.