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Finding the Fourth Proportional to 14,713.82, 20,304.64 and 8,341.00

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Solution

The fourth proportional to 14,713.82, 20,304.64 and 8,341.00 is: 11,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.82 : 20,304.64 = 8,341.00 : x
  2. Step 2: Convert to fraction form
    14,713.82/20,304.64 = 8,341.00/x
  3. Step 3: Cross multiply
    14,713.82x = 20,304.64 × 8,341.00
  4. Step 4: Simplify right side
    14,713.82x = 169,360,930.63
  5. Step 5: Solve for x
    x = 169,360,930.63/14,713.82
  6. Step 6: Final answer
    x = 11,510.33

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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.