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Finding the Fourth Proportional to 16,027.72, 24,032.84 and 4,931.46

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Solution

The fourth proportional to 16,027.72, 24,032.84 and 4,931.46 is: 7,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027.72 : 24,032.84 = 4,931.46 : x
  2. Step 2: Convert to fraction form
    16,027.72/24,032.84 = 4,931.46/x
  3. Step 3: Cross multiply
    16,027.72x = 24,032.84 × 4,931.46
  4. Step 4: Simplify right side
    16,027.72x = 118,516,964.49
  5. Step 5: Solve for x
    x = 118,516,964.49/16,027.72
  6. Step 6: Final answer
    x = 7,394.50

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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.