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Finding the Fourth Proportional to 25,577.60, 35,290.16 and 14,969.84

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Solution

The fourth proportional to 25,577.60, 35,290.16 and 14,969.84 is: 20,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,577.60 : 35,290.16 = 14,969.84 : x
  2. Step 2: Convert to fraction form
    25,577.60/35,290.16 = 14,969.84/x
  3. Step 3: Cross multiply
    25,577.60x = 35,290.16 × 14,969.84
  4. Step 4: Simplify right side
    25,577.60x = 528,288,048.77
  5. Step 5: Solve for x
    x = 528,288,048.77/25,577.60
  6. Step 6: Final answer
    x = 20,654.32

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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.