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Finding the Fourth Proportional to 16,335, 24,502.50 and 7,101

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Solution

The fourth proportional to 16,335, 24,502.50 and 7,101 is: 10,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335 : 24,502.50 = 7,101 : x
  2. Step 2: Convert to fraction form
    16,335/24,502.50 = 7,101/x
  3. Step 3: Cross multiply
    16,335x = 24,502.50 × 7,101
  4. Step 4: Simplify right side
    16,335x = 173,992,252.50
  5. Step 5: Solve for x
    x = 173,992,252.50/16,335
  6. Step 6: Final answer
    x = 10,651.50

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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.