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Finding the Fourth Proportional to 16,604, 22,913.76 and 9,152

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Solution

The fourth proportional to 16,604, 22,913.76 and 9,152 is: 12,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,604 : 22,913.76 = 9,152 : x
  2. Step 2: Convert to fraction form
    16,604/22,913.76 = 9,152/x
  3. Step 3: Cross multiply
    16,604x = 22,913.76 × 9,152
  4. Step 4: Simplify right side
    16,604x = 209,706,731.52
  5. Step 5: Solve for x
    x = 209,706,731.52/16,604
  6. Step 6: Final answer
    x = 12,629.89

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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.