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Finding the Fourth Proportional to 14,443.37, 19,931.48 and 8,069.57

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Solution

The fourth proportional to 14,443.37, 19,931.48 and 8,069.57 is: 11,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.37 : 19,931.48 = 8,069.57 : x
  2. Step 2: Convert to fraction form
    14,443.37/19,931.48 = 8,069.57/x
  3. Step 3: Cross multiply
    14,443.37x = 19,931.48 × 8,069.57
  4. Step 4: Simplify right side
    14,443.37x = 160,838,373.41
  5. Step 5: Solve for x
    x = 160,838,373.41/14,443.37
  6. Step 6: Final answer
    x = 11,135.80

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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.