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Finding the Fourth Proportional to 16,581, 22,881.78 and 9,129

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Solution

The fourth proportional to 16,581, 22,881.78 and 9,129 is: 12,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581 : 22,881.78 = 9,129 : x
  2. Step 2: Convert to fraction form
    16,581/22,881.78 = 9,129/x
  3. Step 3: Cross multiply
    16,581x = 22,881.78 × 9,129
  4. Step 4: Simplify right side
    16,581x = 208,887,769.62
  5. Step 5: Solve for x
    x = 208,887,769.62/16,581
  6. Step 6: Final answer
    x = 12,598.02

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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.