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Finding the Fourth Proportional to 14,437.34, 19,923.36 and 8,149.98

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Solution

The fourth proportional to 14,437.34, 19,923.36 and 8,149.98 is: 11,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.34 : 19,923.36 = 8,149.98 : x
  2. Step 2: Convert to fraction form
    14,437.34/19,923.36 = 8,149.98/x
  3. Step 3: Cross multiply
    14,437.34x = 19,923.36 × 8,149.98
  4. Step 4: Simplify right side
    14,437.34x = 162,374,985.53
  5. Step 5: Solve for x
    x = 162,374,985.53/14,437.34
  6. Step 6: Final answer
    x = 11,246.88

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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.