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Finding the Fourth Proportional to 14,713.32, 20,304.14 and 7,999.11

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Solution

The fourth proportional to 14,713.32, 20,304.14 and 7,999.11 is: 11,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.32 : 20,304.14 = 7,999.11 : x
  2. Step 2: Convert to fraction form
    14,713.32/20,304.14 = 7,999.11/x
  3. Step 3: Cross multiply
    14,713.32x = 20,304.14 × 7,999.11
  4. Step 4: Simplify right side
    14,713.32x = 162,415,060.08
  5. Step 5: Solve for x
    x = 162,415,060.08/14,713.32
  6. Step 6: Final answer
    x = 11,038.64

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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.