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Finding the Fourth Proportional to 12,299.40, 18,434.52 and 9,368.64

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Solution

The fourth proportional to 12,299.40, 18,434.52 and 9,368.64 is: 14,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.40 : 18,434.52 = 9,368.64 : x
  2. Step 2: Convert to fraction form
    12,299.40/18,434.52 = 9,368.64/x
  3. Step 3: Cross multiply
    12,299.40x = 18,434.52 × 9,368.64
  4. Step 4: Simplify right side
    12,299.40x = 172,706,381.45
  5. Step 5: Solve for x
    x = 172,706,381.45/12,299.40
  6. Step 6: Final answer
    x = 14,041.85

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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.