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Finding the Fourth Proportional to 25,188.94, 37,782.04 and 7,657.40

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Solution

The fourth proportional to 25,188.94, 37,782.04 and 7,657.40 is: 11,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,188.94 : 37,782.04 = 7,657.40 : x
  2. Step 2: Convert to fraction form
    25,188.94/37,782.04 = 7,657.40/x
  3. Step 3: Cross multiply
    25,188.94x = 37,782.04 × 7,657.40
  4. Step 4: Simplify right side
    25,188.94x = 289,312,193.10
  5. Step 5: Solve for x
    x = 289,312,193.10/25,188.94
  6. Step 6: Final answer
    x = 11,485.68

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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.