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Finding the Fourth Proportional to 16,210.09, 24,315.14 and 8,402.50

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Solution

The fourth proportional to 16,210.09, 24,315.14 and 8,402.50 is: 12,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210.09 : 24,315.14 = 8,402.50 : x
  2. Step 2: Convert to fraction form
    16,210.09/24,315.14 = 8,402.50/x
  3. Step 3: Cross multiply
    16,210.09x = 24,315.14 × 8,402.50
  4. Step 4: Simplify right side
    16,210.09x = 204,307,963.85
  5. Step 5: Solve for x
    x = 204,307,963.85/16,210.09
  6. Step 6: Final answer
    x = 12,603.75

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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.