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Finding the Fourth Proportional to 16,564.66, 22,866.69 and 10,902.38

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Solution

The fourth proportional to 16,564.66, 22,866.69 and 10,902.38 is: 15,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.66 : 22,866.69 = 10,902.38 : x
  2. Step 2: Convert to fraction form
    16,564.66/22,866.69 = 10,902.38/x
  3. Step 3: Cross multiply
    16,564.66x = 22,866.69 × 10,902.38
  4. Step 4: Simplify right side
    16,564.66x = 249,301,343.72
  5. Step 5: Solve for x
    x = 249,301,343.72/16,564.66
  6. Step 6: Final answer
    x = 15,050.19

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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.