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Finding the Fourth Proportional to 25,186.56, 37,778.47 and 7,655.02

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Solution

The fourth proportional to 25,186.56, 37,778.47 and 7,655.02 is: 11,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,186.56 : 37,778.47 = 7,655.02 : x
  2. Step 2: Convert to fraction form
    25,186.56/37,778.47 = 7,655.02/x
  3. Step 3: Cross multiply
    25,186.56x = 37,778.47 × 7,655.02
  4. Step 4: Simplify right side
    25,186.56x = 289,194,851.37
  5. Step 5: Solve for x
    x = 289,194,851.37/25,186.56
  6. Step 6: Final answer
    x = 11,482.11

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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.