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Finding the Fourth Proportional to 21,697.72, 32,551.47 and 7,658.75

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Solution

The fourth proportional to 21,697.72, 32,551.47 and 7,658.75 is: 11,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.72 : 32,551.47 = 7,658.75 : x
  2. Step 2: Convert to fraction form
    21,697.72/32,551.47 = 7,658.75/x
  3. Step 3: Cross multiply
    21,697.72x = 32,551.47 × 7,658.75
  4. Step 4: Simplify right side
    21,697.72x = 249,303,369.81
  5. Step 5: Solve for x
    x = 249,303,369.81/21,697.72
  6. Step 6: Final answer
    x = 11,489.84

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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.