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Finding the Fourth Proportional to 25,858.52, 38,763.04 and 8,316

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Solution

The fourth proportional to 25,858.52, 38,763.04 and 8,316 is: 12,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,858.52 : 38,763.04 = 8,316 : x
  2. Step 2: Convert to fraction form
    25,858.52/38,763.04 = 8,316/x
  3. Step 3: Cross multiply
    25,858.52x = 38,763.04 × 8,316
  4. Step 4: Simplify right side
    25,858.52x = 322,353,440.64
  5. Step 5: Solve for x
    x = 322,353,440.64/25,858.52
  6. Step 6: Final answer
    x = 12,466.04

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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.