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Finding the Fourth Proportional to 19,564.16, 29,353.46 and 9,039.22

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Solution

The fourth proportional to 19,564.16, 29,353.46 and 9,039.22 is: 13,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.16 : 29,353.46 = 9,039.22 : x
  2. Step 2: Convert to fraction form
    19,564.16/29,353.46 = 9,039.22/x
  3. Step 3: Cross multiply
    19,564.16x = 29,353.46 × 9,039.22
  4. Step 4: Simplify right side
    19,564.16x = 265,332,264.12
  5. Step 5: Solve for x
    x = 265,332,264.12/19,564.16
  6. Step 6: Final answer
    x = 13,562.16

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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.