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Finding the Fourth Proportional to 16,027.60, 24,032.58 and 4,931.20

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Solution

The fourth proportional to 16,027.60, 24,032.58 and 4,931.20 is: 7,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027.60 : 24,032.58 = 4,931.20 : x
  2. Step 2: Convert to fraction form
    16,027.60/24,032.58 = 4,931.20/x
  3. Step 3: Cross multiply
    16,027.60x = 24,032.58 × 4,931.20
  4. Step 4: Simplify right side
    16,027.60x = 118,509,458.50
  5. Step 5: Solve for x
    x = 118,509,458.50/16,027.60
  6. Step 6: Final answer
    x = 7,394.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.