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Finding the Fourth Proportional to 25,708.80, 35,477.46 and 14,530.80

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Solution

The fourth proportional to 25,708.80, 35,477.46 and 14,530.80 is: 20,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,708.80 : 35,477.46 = 14,530.80 : x
  2. Step 2: Convert to fraction form
    25,708.80/35,477.46 = 14,530.80/x
  3. Step 3: Cross multiply
    25,708.80x = 35,477.46 × 14,530.80
  4. Step 4: Simplify right side
    25,708.80x = 515,515,875.77
  5. Step 5: Solve for x
    x = 515,515,875.77/25,708.80
  6. Step 6: Final answer
    x = 20,052.12

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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.