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Finding the Fourth Proportional to 19,588.32, 29,375.60 and 7,106.22

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Solution

The fourth proportional to 19,588.32, 29,375.60 and 7,106.22 is: 10,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,588.32 : 29,375.60 = 7,106.22 : x
  2. Step 2: Convert to fraction form
    19,588.32/29,375.60 = 7,106.22/x
  3. Step 3: Cross multiply
    19,588.32x = 29,375.60 × 7,106.22
  4. Step 4: Simplify right side
    19,588.32x = 208,749,577.51
  5. Step 5: Solve for x
    x = 208,749,577.51/19,588.32
  6. Step 6: Final answer
    x = 10,656.84

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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.