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Finding the Fourth Proportional to 12,159.42, 16,771.38 and 11,752.98

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Solution

The fourth proportional to 12,159.42, 16,771.38 and 11,752.98 is: 16,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.42 : 16,771.38 = 11,752.98 : x
  2. Step 2: Convert to fraction form
    12,159.42/16,771.38 = 11,752.98/x
  3. Step 3: Cross multiply
    12,159.42x = 16,771.38 × 11,752.98
  4. Step 4: Simplify right side
    12,159.42x = 197,113,693.71
  5. Step 5: Solve for x
    x = 197,113,693.71/12,159.42
  6. Step 6: Final answer
    x = 16,210.78

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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.