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Finding the Fourth Proportional to 14,305.38, 19,742.50 and 9,004.74

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Solution

The fourth proportional to 14,305.38, 19,742.50 and 9,004.74 is: 12,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.38 : 19,742.50 = 9,004.74 : x
  2. Step 2: Convert to fraction form
    14,305.38/19,742.50 = 9,004.74/x
  3. Step 3: Cross multiply
    14,305.38x = 19,742.50 × 9,004.74
  4. Step 4: Simplify right side
    14,305.38x = 177,776,079.45
  5. Step 5: Solve for x
    x = 177,776,079.45/14,305.38
  6. Step 6: Final answer
    x = 12,427.22

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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.