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Finding the Fourth Proportional to 27,582.32, 38,070.40 and 15,652.84

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Solution

The fourth proportional to 27,582.32, 38,070.40 and 15,652.84 is: 21,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,582.32 : 38,070.40 = 15,652.84 : x
  2. Step 2: Convert to fraction form
    27,582.32/38,070.40 = 15,652.84/x
  3. Step 3: Cross multiply
    27,582.32x = 38,070.40 × 15,652.84
  4. Step 4: Simplify right side
    27,582.32x = 595,909,879.94
  5. Step 5: Solve for x
    x = 595,909,879.94/27,582.32
  6. Step 6: Final answer
    x = 21,604.78

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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.