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Finding the Fourth Proportional to 14,032.86, 19,367.84 and 8,367.98

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Solution

The fourth proportional to 14,032.86, 19,367.84 and 8,367.98 is: 11,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.86 : 19,367.84 = 8,367.98 : x
  2. Step 2: Convert to fraction form
    14,032.86/19,367.84 = 8,367.98/x
  3. Step 3: Cross multiply
    14,032.86x = 19,367.84 × 8,367.98
  4. Step 4: Simplify right side
    14,032.86x = 162,069,767.10
  5. Step 5: Solve for x
    x = 162,069,767.10/14,032.86
  6. Step 6: Final answer
    x = 11,549.30

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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.