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Finding the Fourth Proportional to 19,564.85, 29,320.74 and 9,011.67

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Solution

The fourth proportional to 19,564.85, 29,320.74 and 9,011.67 is: 13,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.85 : 29,320.74 = 9,011.67 : x
  2. Step 2: Convert to fraction form
    19,564.85/29,320.74 = 9,011.67/x
  3. Step 3: Cross multiply
    19,564.85x = 29,320.74 × 9,011.67
  4. Step 4: Simplify right side
    19,564.85x = 264,228,833.04
  5. Step 5: Solve for x
    x = 264,228,833.04/19,564.85
  6. Step 6: Final answer
    x = 13,505.28

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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.