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Finding the Fourth Proportional to 25,648.17, 38,477.93 and 7,881.30

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Solution

The fourth proportional to 25,648.17, 38,477.93 and 7,881.30 is: 11,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,648.17 : 38,477.93 = 7,881.30 : x
  2. Step 2: Convert to fraction form
    25,648.17/38,477.93 = 7,881.30/x
  3. Step 3: Cross multiply
    25,648.17x = 38,477.93 × 7,881.30
  4. Step 4: Simplify right side
    25,648.17x = 303,256,070.30
  5. Step 5: Solve for x
    x = 303,256,070.30/25,648.17
  6. Step 6: Final answer
    x = 11,823.69

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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.