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Finding the Fourth Proportional to 13,404.64, 18,490.80 and 8,428

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Solution

The fourth proportional to 13,404.64, 18,490.80 and 8,428 is: 11,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.64 : 18,490.80 = 8,428 : x
  2. Step 2: Convert to fraction form
    13,404.64/18,490.80 = 8,428/x
  3. Step 3: Cross multiply
    13,404.64x = 18,490.80 × 8,428
  4. Step 4: Simplify right side
    13,404.64x = 155,840,462.40
  5. Step 5: Solve for x
    x = 155,840,462.40/13,404.64
  6. Step 6: Final answer
    x = 11,625.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.