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Finding the Fourth Proportional to 15,234.56, 22,848.64 and 4,288

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Solution

The fourth proportional to 15,234.56, 22,848.64 and 4,288 is: 6,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234.56 : 22,848.64 = 4,288 : x
  2. Step 2: Convert to fraction form
    15,234.56/22,848.64 = 4,288/x
  3. Step 3: Cross multiply
    15,234.56x = 22,848.64 × 4,288
  4. Step 4: Simplify right side
    15,234.56x = 97,974,968.32
  5. Step 5: Solve for x
    x = 97,974,968.32/15,234.56
  6. Step 6: Final answer
    x = 6,431.10

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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.