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Finding the Fourth Proportional to 19,535.25, 29,307.74 and 5,684.25

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Solution

The fourth proportional to 19,535.25, 29,307.74 and 5,684.25 is: 8,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,535.25 : 29,307.74 = 5,684.25 : x
  2. Step 2: Convert to fraction form
    19,535.25/29,307.74 = 5,684.25/x
  3. Step 3: Cross multiply
    19,535.25x = 29,307.74 × 5,684.25
  4. Step 4: Simplify right side
    19,535.25x = 166,592,492.67
  5. Step 5: Solve for x
    x = 166,592,492.67/19,535.25
  6. Step 6: Final answer
    x = 8,527.79

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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.