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Finding the Fourth Proportional to 25,364.54, 38,051.60 and 7,830.26

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Solution

The fourth proportional to 25,364.54, 38,051.60 and 7,830.26 is: 11,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364.54 : 38,051.60 = 7,830.26 : x
  2. Step 2: Convert to fraction form
    25,364.54/38,051.60 = 7,830.26/x
  3. Step 3: Cross multiply
    25,364.54x = 38,051.60 × 7,830.26
  4. Step 4: Simplify right side
    25,364.54x = 297,953,921.42
  5. Step 5: Solve for x
    x = 297,953,921.42/25,364.54
  6. Step 6: Final answer
    x = 11,746.87

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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.