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Finding the Fourth Proportional to 14,304.33, 19,742.37 and 8,339.49

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Solution

The fourth proportional to 14,304.33, 19,742.37 and 8,339.49 is: 11,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,304.33 : 19,742.37 = 8,339.49 : x
  2. Step 2: Convert to fraction form
    14,304.33/19,742.37 = 8,339.49/x
  3. Step 3: Cross multiply
    14,304.33x = 19,742.37 × 8,339.49
  4. Step 4: Simplify right side
    14,304.33x = 164,641,297.19
  5. Step 5: Solve for x
    x = 164,641,297.19/14,304.33
  6. Step 6: Final answer
    x = 11,509.89

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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.