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Finding the Fourth Proportional to 11,785.56, 17,678.58 and 9,434.66

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Solution

The fourth proportional to 11,785.56, 17,678.58 and 9,434.66 is: 14,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.56 : 17,678.58 = 9,434.66 : x
  2. Step 2: Convert to fraction form
    11,785.56/17,678.58 = 9,434.66/x
  3. Step 3: Cross multiply
    11,785.56x = 17,678.58 × 9,434.66
  4. Step 4: Simplify right side
    11,785.56x = 166,791,303.19
  5. Step 5: Solve for x
    x = 166,791,303.19/11,785.56
  6. Step 6: Final answer
    x = 14,152.17

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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.