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Finding the Fourth Proportional to 25,684.68, 35,447.64 and 15,075.84

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Solution

The fourth proportional to 25,684.68, 35,447.64 and 15,075.84 is: 20,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,684.68 : 35,447.64 = 15,075.84 : x
  2. Step 2: Convert to fraction form
    25,684.68/35,447.64 = 15,075.84/x
  3. Step 3: Cross multiply
    25,684.68x = 35,447.64 × 15,075.84
  4. Step 4: Simplify right side
    25,684.68x = 534,402,949.02
  5. Step 5: Solve for x
    x = 534,402,949.02/25,684.68
  6. Step 6: Final answer
    x = 20,806.29

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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.