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Finding the Fourth Proportional to 19,309, 26,646.42 and 10,477

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Solution

The fourth proportional to 19,309, 26,646.42 and 10,477 is: 14,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,309 : 26,646.42 = 10,477 : x
  2. Step 2: Convert to fraction form
    19,309/26,646.42 = 10,477/x
  3. Step 3: Cross multiply
    19,309x = 26,646.42 × 10,477
  4. Step 4: Simplify right side
    19,309x = 279,174,542.34
  5. Step 5: Solve for x
    x = 279,174,542.34/19,309
  6. Step 6: Final answer
    x = 14,458.26

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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.