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Finding the Fourth Proportional to 13,274.64, 19,924.29 and 6,705.45

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Solution

The fourth proportional to 13,274.64, 19,924.29 and 6,705.45 is: 10,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.64 : 19,924.29 = 6,705.45 : x
  2. Step 2: Convert to fraction form
    13,274.64/19,924.29 = 6,705.45/x
  3. Step 3: Cross multiply
    13,274.64x = 19,924.29 × 6,705.45
  4. Step 4: Simplify right side
    13,274.64x = 133,601,330.38
  5. Step 5: Solve for x
    x = 133,601,330.38/13,274.64
  6. Step 6: Final answer
    x = 10,064.40

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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.