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Finding the Fourth Proportional to 12,039.04, 16,646.16 and 10,563.04

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Solution

The fourth proportional to 12,039.04, 16,646.16 and 10,563.04 is: 14,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,039.04 : 16,646.16 = 10,563.04 : x
  2. Step 2: Convert to fraction form
    12,039.04/16,646.16 = 10,563.04/x
  3. Step 3: Cross multiply
    12,039.04x = 16,646.16 × 10,563.04
  4. Step 4: Simplify right side
    12,039.04x = 175,834,053.93
  5. Step 5: Solve for x
    x = 175,834,053.93/12,039.04
  6. Step 6: Final answer
    x = 14,605.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.