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Finding the Fourth Proportional to 27,565.76, 38,041.16 and 15,628.84

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Solution

The fourth proportional to 27,565.76, 38,041.16 and 15,628.84 is: 21,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565.76 : 38,041.16 = 15,628.84 : x
  2. Step 2: Convert to fraction form
    27,565.76/38,041.16 = 15,628.84/x
  3. Step 3: Cross multiply
    27,565.76x = 38,041.16 × 15,628.84
  4. Step 4: Simplify right side
    27,565.76x = 594,539,029.81
  5. Step 5: Solve for x
    x = 594,539,029.81/27,565.76
  6. Step 6: Final answer
    x = 21,568.02

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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.