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Finding the Fourth Proportional to 25,425.69, 38,141.06 and 9,419.51

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Solution

The fourth proportional to 25,425.69, 38,141.06 and 9,419.51 is: 14,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,425.69 : 38,141.06 = 9,419.51 : x
  2. Step 2: Convert to fraction form
    25,425.69/38,141.06 = 9,419.51/x
  3. Step 3: Cross multiply
    25,425.69x = 38,141.06 × 9,419.51
  4. Step 4: Simplify right side
    25,425.69x = 359,270,009.27
  5. Step 5: Solve for x
    x = 359,270,009.27/25,425.69
  6. Step 6: Final answer
    x = 14,130.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.