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Finding the Fourth Proportional to 14,433.40, 19,921.86 and 9,410.08

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Solution

The fourth proportional to 14,433.40, 19,921.86 and 9,410.08 is: 12,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.40 : 19,921.86 = 9,410.08 : x
  2. Step 2: Convert to fraction form
    14,433.40/19,921.86 = 9,410.08/x
  3. Step 3: Cross multiply
    14,433.40x = 19,921.86 × 9,410.08
  4. Step 4: Simplify right side
    14,433.40x = 187,466,296.35
  5. Step 5: Solve for x
    x = 187,466,296.35/14,433.40
  6. Step 6: Final answer
    x = 12,988.37

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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.