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Finding the Fourth Proportional to 16,274.08, 24,412.71 and 7,511.50

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Solution

The fourth proportional to 16,274.08, 24,412.71 and 7,511.50 is: 11,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.08 : 24,412.71 = 7,511.50 : x
  2. Step 2: Convert to fraction form
    16,274.08/24,412.71 = 7,511.50/x
  3. Step 3: Cross multiply
    16,274.08x = 24,412.71 × 7,511.50
  4. Step 4: Simplify right side
    16,274.08x = 183,376,071.17
  5. Step 5: Solve for x
    x = 183,376,071.17/16,274.08
  6. Step 6: Final answer
    x = 11,267.98

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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.