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Finding the Fourth Proportional to 25,862.63, 35,690.46 and 14,684.63

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Solution

The fourth proportional to 25,862.63, 35,690.46 and 14,684.63 is: 20,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,862.63 : 35,690.46 = 14,684.63 : x
  2. Step 2: Convert to fraction form
    25,862.63/35,690.46 = 14,684.63/x
  3. Step 3: Cross multiply
    25,862.63x = 35,690.46 × 14,684.63
  4. Step 4: Simplify right side
    25,862.63x = 524,100,966.11
  5. Step 5: Solve for x
    x = 524,100,966.11/25,862.63
  6. Step 6: Final answer
    x = 20,264.80

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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.