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Finding the Fourth Proportional to 14,364.52, 19,822.44 and 8,076.76

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Solution

The fourth proportional to 14,364.52, 19,822.44 and 8,076.76 is: 11,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.52 : 19,822.44 = 8,076.76 : x
  2. Step 2: Convert to fraction form
    14,364.52/19,822.44 = 8,076.76/x
  3. Step 3: Cross multiply
    14,364.52x = 19,822.44 × 8,076.76
  4. Step 4: Simplify right side
    14,364.52x = 160,101,090.49
  5. Step 5: Solve for x
    x = 160,101,090.49/14,364.52
  6. Step 6: Final answer
    x = 11,145.59

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1.5x scale

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.