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Finding the Fourth Proportional to 14,419.62, 19,899.08 and 8,132.00

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Solution

The fourth proportional to 14,419.62, 19,899.08 and 8,132.00 is: 11,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.62 : 19,899.08 = 8,132.00 : x
  2. Step 2: Convert to fraction form
    14,419.62/19,899.08 = 8,132.00/x
  3. Step 3: Cross multiply
    14,419.62x = 19,899.08 × 8,132.00
  4. Step 4: Simplify right side
    14,419.62x = 161,819,178.40
  5. Step 5: Solve for x
    x = 161,819,178.40/14,419.62
  6. Step 6: Final answer
    x = 11,222.15

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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.