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Finding the Fourth Proportional to 27,283.50, 37,648.54 and 15,346.58

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Solution

The fourth proportional to 27,283.50, 37,648.54 and 15,346.58 is: 21,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,283.50 : 37,648.54 = 15,346.58 : x
  2. Step 2: Convert to fraction form
    27,283.50/37,648.54 = 15,346.58/x
  3. Step 3: Cross multiply
    27,283.50x = 37,648.54 × 15,346.58
  4. Step 4: Simplify right side
    27,283.50x = 577,776,330.99
  5. Step 5: Solve for x
    x = 577,776,330.99/27,283.50
  6. Step 6: Final answer
    x = 21,176.77

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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.