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Finding the Fourth Proportional to 25,477.74, 35,159.40 and 14,147.46

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Solution

The fourth proportional to 25,477.74, 35,159.40 and 14,147.46 is: 19,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.74 : 35,159.40 = 14,147.46 : x
  2. Step 2: Convert to fraction form
    25,477.74/35,159.40 = 14,147.46/x
  3. Step 3: Cross multiply
    25,477.74x = 35,159.40 × 14,147.46
  4. Step 4: Simplify right side
    25,477.74x = 497,416,205.12
  5. Step 5: Solve for x
    x = 497,416,205.12/25,477.74
  6. Step 6: Final answer
    x = 19,523.56

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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.