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Finding the Fourth Proportional to 16,307.45, 22,499.18 and 9,136.40

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Solution

The fourth proportional to 16,307.45, 22,499.18 and 9,136.40 is: 12,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.45 : 22,499.18 = 9,136.40 : x
  2. Step 2: Convert to fraction form
    16,307.45/22,499.18 = 9,136.40/x
  3. Step 3: Cross multiply
    16,307.45x = 22,499.18 × 9,136.40
  4. Step 4: Simplify right side
    16,307.45x = 205,561,518.72
  5. Step 5: Solve for x
    x = 205,561,518.72/16,307.45
  6. Step 6: Final answer
    x = 12,605.38

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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.