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Finding the Fourth Proportional to 16,369.60, 24,575.84 and 9,718.24

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Solution

The fourth proportional to 16,369.60, 24,575.84 and 9,718.24 is: 14,590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369.60 : 24,575.84 = 9,718.24 : x
  2. Step 2: Convert to fraction form
    16,369.60/24,575.84 = 9,718.24/x
  3. Step 3: Cross multiply
    16,369.60x = 24,575.84 × 9,718.24
  4. Step 4: Simplify right side
    16,369.60x = 238,833,911.32
  5. Step 5: Solve for x
    x = 238,833,911.32/16,369.60
  6. Step 6: Final answer
    x = 14,590.09

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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.