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Finding the Fourth Proportional to 25,191.51, 37,776.32 and 7,657.23

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Solution

The fourth proportional to 25,191.51, 37,776.32 and 7,657.23 is: 11,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,191.51 : 37,776.32 = 7,657.23 : x
  2. Step 2: Convert to fraction form
    25,191.51/37,776.32 = 7,657.23/x
  3. Step 3: Cross multiply
    25,191.51x = 37,776.32 × 7,657.23
  4. Step 4: Simplify right side
    25,191.51x = 289,262,145.96
  5. Step 5: Solve for x
    x = 289,262,145.96/25,191.51
  6. Step 6: Final answer
    x = 11,482.53

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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.