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Finding the Fourth Proportional to 27,992.40, 38,629.50 and 15,417

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Solution

The fourth proportional to 27,992.40, 38,629.50 and 15,417 is: 21,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992.40 : 38,629.50 = 15,417 : x
  2. Step 2: Convert to fraction form
    27,992.40/38,629.50 = 15,417/x
  3. Step 3: Cross multiply
    27,992.40x = 38,629.50 × 15,417
  4. Step 4: Simplify right side
    27,992.40x = 595,551,001.50
  5. Step 5: Solve for x
    x = 595,551,001.50/27,992.40
  6. Step 6: Final answer
    x = 21,275.45

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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.