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Finding the Fourth Proportional to 16,544, 22,830.80 and 9,092

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Solution

The fourth proportional to 16,544, 22,830.80 and 9,092 is: 12,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544 : 22,830.80 = 9,092 : x
  2. Step 2: Convert to fraction form
    16,544/22,830.80 = 9,092/x
  3. Step 3: Cross multiply
    16,544x = 22,830.80 × 9,092
  4. Step 4: Simplify right side
    16,544x = 207,577,633.60
  5. Step 5: Solve for x
    x = 207,577,633.60/16,544
  6. Step 6: Final answer
    x = 12,547.00

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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.