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Finding the Fourth Proportional to 12,420.32, 18,631.16 and 5,023.68

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Solution

The fourth proportional to 12,420.32, 18,631.16 and 5,023.68 is: 7,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420.32 : 18,631.16 = 5,023.68 : x
  2. Step 2: Convert to fraction form
    12,420.32/18,631.16 = 5,023.68/x
  3. Step 3: Cross multiply
    12,420.32x = 18,631.16 × 5,023.68
  4. Step 4: Simplify right side
    12,420.32x = 93,596,985.87
  5. Step 5: Solve for x
    x = 93,596,985.87/12,420.32
  6. Step 6: Final answer
    x = 7,535.80

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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.