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Finding the Fourth Proportional to 12,225.87, 16,875.72 and 7,189.88

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Solution

The fourth proportional to 12,225.87, 16,875.72 and 7,189.88 is: 9,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.87 : 16,875.72 = 7,189.88 : x
  2. Step 2: Convert to fraction form
    12,225.87/16,875.72 = 7,189.88/x
  3. Step 3: Cross multiply
    12,225.87x = 16,875.72 × 7,189.88
  4. Step 4: Simplify right side
    12,225.87x = 121,334,317.34
  5. Step 5: Solve for x
    x = 121,334,317.34/12,225.87
  6. Step 6: Final answer
    x = 9,924.39

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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.