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Finding the Fourth Proportional to 14,520.08, 21,750.96 and 7,580

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Solution

The fourth proportional to 14,520.08, 21,750.96 and 7,580 is: 11,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520.08 : 21,750.96 = 7,580 : x
  2. Step 2: Convert to fraction form
    14,520.08/21,750.96 = 7,580/x
  3. Step 3: Cross multiply
    14,520.08x = 21,750.96 × 7,580
  4. Step 4: Simplify right side
    14,520.08x = 164,872,276.80
  5. Step 5: Solve for x
    x = 164,872,276.80/14,520.08
  6. Step 6: Final answer
    x = 11,354.78

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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.