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Finding the Fourth Proportional to 25,862.46, 35,690.19 and 14,684.46

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Solution

The fourth proportional to 25,862.46, 35,690.19 and 14,684.46 is: 20,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,862.46 : 35,690.19 = 14,684.46 : x
  2. Step 2: Convert to fraction form
    25,862.46/35,690.19 = 14,684.46/x
  3. Step 3: Cross multiply
    25,862.46x = 35,690.19 × 14,684.46
  4. Step 4: Simplify right side
    25,862.46x = 524,091,167.45
  5. Step 5: Solve for x
    x = 524,091,167.45/25,862.46
  6. Step 6: Final answer
    x = 20,264.55

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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.