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Finding the Fourth Proportional to 16,527.38, 22,811.64 and 10,564.16

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Solution

The fourth proportional to 16,527.38, 22,811.64 and 10,564.16 is: 14,581.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527.38 : 22,811.64 = 10,564.16 : x
  2. Step 2: Convert to fraction form
    16,527.38/22,811.64 = 10,564.16/x
  3. Step 3: Cross multiply
    16,527.38x = 22,811.64 × 10,564.16
  4. Step 4: Simplify right side
    16,527.38x = 240,985,814.82
  5. Step 5: Solve for x
    x = 240,985,814.82/16,527.38
  6. Step 6: Final answer
    x = 14,581.01

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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.