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Finding the Fourth Proportional to 14,445, 19,934.24 and 8,157.51

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Solution

The fourth proportional to 14,445, 19,934.24 and 8,157.51 is: 11,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445 : 19,934.24 = 8,157.51 : x
  2. Step 2: Convert to fraction form
    14,445/19,934.24 = 8,157.51/x
  3. Step 3: Cross multiply
    14,445x = 19,934.24 × 8,157.51
  4. Step 4: Simplify right side
    14,445x = 162,613,721.35
  5. Step 5: Solve for x
    x = 162,613,721.35/14,445
  6. Step 6: Final answer
    x = 11,257.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.