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Finding the Fourth Proportional to 27,587.25, 38,070.54 and 15,012

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Solution

The fourth proportional to 27,587.25, 38,070.54 and 15,012 is: 20,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,587.25 : 38,070.54 = 15,012 : x
  2. Step 2: Convert to fraction form
    27,587.25/38,070.54 = 15,012/x
  3. Step 3: Cross multiply
    27,587.25x = 38,070.54 × 15,012
  4. Step 4: Simplify right side
    27,587.25x = 571,514,946.48
  5. Step 5: Solve for x
    x = 571,514,946.48/27,587.25
  6. Step 6: Final answer
    x = 20,716.63

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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.