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Finding the Fourth Proportional to 27,518.76, 37,976.40 and 15,582.06

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Solution

The fourth proportional to 27,518.76, 37,976.40 and 15,582.06 is: 21,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,518.76 : 37,976.40 = 15,582.06 : x
  2. Step 2: Convert to fraction form
    27,518.76/37,976.40 = 15,582.06/x
  3. Step 3: Cross multiply
    27,518.76x = 37,976.40 × 15,582.06
  4. Step 4: Simplify right side
    27,518.76x = 591,750,543.38
  5. Step 5: Solve for x
    x = 591,750,543.38/27,518.76
  6. Step 6: Final answer
    x = 21,503.53

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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.