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Finding the Fourth Proportional to 12,543.50, 17,303.88 and 10,553.30

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Solution

The fourth proportional to 12,543.50, 17,303.88 and 10,553.30 is: 14,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.50 : 17,303.88 = 10,553.30 : x
  2. Step 2: Convert to fraction form
    12,543.50/17,303.88 = 10,553.30/x
  3. Step 3: Cross multiply
    12,543.50x = 17,303.88 × 10,553.30
  4. Step 4: Simplify right side
    12,543.50x = 182,613,036.80
  5. Step 5: Solve for x
    x = 182,613,036.80/12,543.50
  6. Step 6: Final answer
    x = 14,558.38

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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.