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Finding the Fourth Proportional to 25,419.52, 35,077.78 and 14,089

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Solution

The fourth proportional to 25,419.52, 35,077.78 and 14,089 is: 19,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,419.52 : 35,077.78 = 14,089 : x
  2. Step 2: Convert to fraction form
    25,419.52/35,077.78 = 14,089/x
  3. Step 3: Cross multiply
    25,419.52x = 35,077.78 × 14,089
  4. Step 4: Simplify right side
    25,419.52x = 494,210,842.42
  5. Step 5: Solve for x
    x = 494,210,842.42/25,419.52
  6. Step 6: Final answer
    x = 19,442.18

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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.