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Finding the Fourth Proportional to 13,575.72, 20,364 and 6,458.40

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Solution

The fourth proportional to 13,575.72, 20,364 and 6,458.40 is: 9,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.72 : 20,364 = 6,458.40 : x
  2. Step 2: Convert to fraction form
    13,575.72/20,364 = 6,458.40/x
  3. Step 3: Cross multiply
    13,575.72x = 20,364 × 6,458.40
  4. Step 4: Simplify right side
    13,575.72x = 131,518,857.60
  5. Step 5: Solve for x
    x = 131,518,857.60/13,575.72
  6. Step 6: Final answer
    x = 9,687.80

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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.