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Finding the Fourth Proportional to 19,533.96, 29,303.10 and 5,684.04

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Solution

The fourth proportional to 19,533.96, 29,303.10 and 5,684.04 is: 8,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.96 : 29,303.10 = 5,684.04 : x
  2. Step 2: Convert to fraction form
    19,533.96/29,303.10 = 5,684.04/x
  3. Step 3: Cross multiply
    19,533.96x = 29,303.10 × 5,684.04
  4. Step 4: Simplify right side
    19,533.96x = 166,559,992.52
  5. Step 5: Solve for x
    x = 166,559,992.52/19,533.96
  6. Step 6: Final answer
    x = 8,526.69

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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.