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Finding the Fourth Proportional to 19,564.32, 29,302.08 and 11,756.64

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Solution

The fourth proportional to 19,564.32, 29,302.08 and 11,756.64 is: 17,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.32 : 29,302.08 = 11,756.64 : x
  2. Step 2: Convert to fraction form
    19,564.32/29,302.08 = 11,756.64/x
  3. Step 3: Cross multiply
    19,564.32x = 29,302.08 × 11,756.64
  4. Step 4: Simplify right side
    19,564.32x = 344,494,005.81
  5. Step 5: Solve for x
    x = 344,494,005.81/19,564.32
  6. Step 6: Final answer
    x = 17,608.28

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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.