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Finding the Fourth Proportional to 14,477.58, 19,982.43 and 8,191.98

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Solution

The fourth proportional to 14,477.58, 19,982.43 and 8,191.98 is: 11,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.58 : 19,982.43 = 8,191.98 : x
  2. Step 2: Convert to fraction form
    14,477.58/19,982.43 = 8,191.98/x
  3. Step 3: Cross multiply
    14,477.58x = 19,982.43 × 8,191.98
  4. Step 4: Simplify right side
    14,477.58x = 163,695,666.91
  5. Step 5: Solve for x
    x = 163,695,666.91/14,477.58
  6. Step 6: Final answer
    x = 11,306.84

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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.