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Finding the Fourth Proportional to 25,860.89, 35,689.13 and 14,530.16

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Solution

The fourth proportional to 25,860.89, 35,689.13 and 14,530.16 is: 20,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,860.89 : 35,689.13 = 14,530.16 : x
  2. Step 2: Convert to fraction form
    25,860.89/35,689.13 = 14,530.16/x
  3. Step 3: Cross multiply
    25,860.89x = 35,689.13 × 14,530.16
  4. Step 4: Simplify right side
    25,860.89x = 518,568,518.06
  5. Step 5: Solve for x
    x = 518,568,518.06/25,860.89
  6. Step 6: Final answer
    x = 20,052.23

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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.