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Finding the Fourth Proportional to 17,878.32, 24,654 and 10,800.72

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Solution

The fourth proportional to 17,878.32, 24,654 and 10,800.72 is: 14,894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.32 : 24,654 = 10,800.72 : x
  2. Step 2: Convert to fraction form
    17,878.32/24,654 = 10,800.72/x
  3. Step 3: Cross multiply
    17,878.32x = 24,654 × 10,800.72
  4. Step 4: Simplify right side
    17,878.32x = 266,280,950.88
  5. Step 5: Solve for x
    x = 266,280,950.88/17,878.32
  6. Step 6: Final answer
    x = 14,894.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.