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Finding the Fourth Proportional to 12,298.20, 18,432.90 and 5,710.50

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Solution

The fourth proportional to 12,298.20, 18,432.90 and 5,710.50 is: 8,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.20 : 18,432.90 = 5,710.50 : x
  2. Step 2: Convert to fraction form
    12,298.20/18,432.90 = 5,710.50/x
  3. Step 3: Cross multiply
    12,298.20x = 18,432.90 × 5,710.50
  4. Step 4: Simplify right side
    12,298.20x = 105,261,075.45
  5. Step 5: Solve for x
    x = 105,261,075.45/12,298.20
  6. Step 6: Final answer
    x = 8,559.06

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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.