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Finding the Fourth Proportional to 16,468.59, 22,726.64 and 8,914.99

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Solution

The fourth proportional to 16,468.59, 22,726.64 and 8,914.99 is: 12,302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.59 : 22,726.64 = 8,914.99 : x
  2. Step 2: Convert to fraction form
    16,468.59/22,726.64 = 8,914.99/x
  3. Step 3: Cross multiply
    16,468.59x = 22,726.64 × 8,914.99
  4. Step 4: Simplify right side
    16,468.59x = 202,607,712.50
  5. Step 5: Solve for x
    x = 202,607,712.50/16,468.59
  6. Step 6: Final answer
    x = 12,302.67

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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.