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Finding the Fourth Proportional to 23,707.58, 35,568.04 and 10,381.76

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Solution

The fourth proportional to 23,707.58, 35,568.04 and 10,381.76 is: 15,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.58 : 35,568.04 = 10,381.76 : x
  2. Step 2: Convert to fraction form
    23,707.58/35,568.04 = 10,381.76/x
  3. Step 3: Cross multiply
    23,707.58x = 35,568.04 × 10,381.76
  4. Step 4: Simplify right side
    23,707.58x = 369,258,854.95
  5. Step 5: Solve for x
    x = 369,258,854.95/23,707.58
  6. Step 6: Final answer
    x = 15,575.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.