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Finding the Fourth Proportional to 25,853.51, 38,780.42 and 9,214.19

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Solution

The fourth proportional to 25,853.51, 38,780.42 and 9,214.19 is: 13,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853.51 : 38,780.42 = 9,214.19 : x
  2. Step 2: Convert to fraction form
    25,853.51/38,780.42 = 9,214.19/x
  3. Step 3: Cross multiply
    25,853.51x = 38,780.42 × 9,214.19
  4. Step 4: Simplify right side
    25,853.51x = 357,330,158.16
  5. Step 5: Solve for x
    x = 357,330,158.16/25,853.51
  6. Step 6: Final answer
    x = 13,821.34

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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.