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Finding the Fourth Proportional to 14,191.34, 19,584.08 and 8,224.16

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Solution

The fourth proportional to 14,191.34, 19,584.08 and 8,224.16 is: 11,349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.34 : 19,584.08 = 8,224.16 : x
  2. Step 2: Convert to fraction form
    14,191.34/19,584.08 = 8,224.16/x
  3. Step 3: Cross multiply
    14,191.34x = 19,584.08 × 8,224.16
  4. Step 4: Simplify right side
    14,191.34x = 161,062,607.37
  5. Step 5: Solve for x
    x = 161,062,607.37/14,191.34
  6. Step 6: Final answer
    x = 11,349.36

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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.