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Finding the Fourth Proportional to 12,157.29, 18,235.91 and 4,756.55

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Solution

The fourth proportional to 12,157.29, 18,235.91 and 4,756.55 is: 7,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.29 : 18,235.91 = 4,756.55 : x
  2. Step 2: Convert to fraction form
    12,157.29/18,235.91 = 4,756.55/x
  3. Step 3: Cross multiply
    12,157.29x = 18,235.91 × 4,756.55
  4. Step 4: Simplify right side
    12,157.29x = 86,740,017.71
  5. Step 5: Solve for x
    x = 86,740,017.71/12,157.29
  6. Step 6: Final answer
    x = 7,134.82

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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.