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Finding the Fourth Proportional to 19,956.06, 29,931.24 and 7,474.38

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Solution

The fourth proportional to 19,956.06, 29,931.24 and 7,474.38 is: 11,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,956.06 : 29,931.24 = 7,474.38 : x
  2. Step 2: Convert to fraction form
    19,956.06/29,931.24 = 7,474.38/x
  3. Step 3: Cross multiply
    19,956.06x = 29,931.24 × 7,474.38
  4. Step 4: Simplify right side
    19,956.06x = 223,717,461.63
  5. Step 5: Solve for x
    x = 223,717,461.63/19,956.06
  6. Step 6: Final answer
    x = 11,210.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.