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Finding the Fourth Proportional to 14,904.14, 20,567.64 and 8,189.74

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Solution

The fourth proportional to 14,904.14, 20,567.64 and 8,189.74 is: 11,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904.14 : 20,567.64 = 8,189.74 : x
  2. Step 2: Convert to fraction form
    14,904.14/20,567.64 = 8,189.74/x
  3. Step 3: Cross multiply
    14,904.14x = 20,567.64 × 8,189.74
  4. Step 4: Simplify right side
    14,904.14x = 168,443,624.01
  5. Step 5: Solve for x
    x = 168,443,624.01/14,904.14
  6. Step 6: Final answer
    x = 11,301.80

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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.