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Finding the Fourth Proportional to 19,546.32, 29,313.48 and 7,064.82

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Solution

The fourth proportional to 19,546.32, 29,313.48 and 7,064.82 is: 10,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.32 : 29,313.48 = 7,064.82 : x
  2. Step 2: Convert to fraction form
    19,546.32/29,313.48 = 7,064.82/x
  3. Step 3: Cross multiply
    19,546.32x = 29,313.48 × 7,064.82
  4. Step 4: Simplify right side
    19,546.32x = 207,094,459.77
  5. Step 5: Solve for x
    x = 207,094,459.77/19,546.32
  6. Step 6: Final answer
    x = 10,595.06

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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.