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Finding the Fourth Proportional to 16,346, 24,519.36 and 4,034

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Solution

The fourth proportional to 16,346, 24,519.36 and 4,034 is: 6,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346 : 24,519.36 = 4,034 : x
  2. Step 2: Convert to fraction form
    16,346/24,519.36 = 4,034/x
  3. Step 3: Cross multiply
    16,346x = 24,519.36 × 4,034
  4. Step 4: Simplify right side
    16,346x = 98,911,098.24
  5. Step 5: Solve for x
    x = 98,911,098.24/16,346
  6. Step 6: Final answer
    x = 6,051.09

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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.