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Finding the Fourth Proportional to 16,312.50, 22,513.17 and 9,688.50

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Solution

The fourth proportional to 16,312.50, 22,513.17 and 9,688.50 is: 13,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.50 : 22,513.17 = 9,688.50 : x
  2. Step 2: Convert to fraction form
    16,312.50/22,513.17 = 9,688.50/x
  3. Step 3: Cross multiply
    16,312.50x = 22,513.17 × 9,688.50
  4. Step 4: Simplify right side
    16,312.50x = 218,118,847.55
  5. Step 5: Solve for x
    x = 218,118,847.55/16,312.50
  6. Step 6: Final answer
    x = 13,371.27

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1.5x scale

Why These Related Problems?

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