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Finding the Fourth Proportional to 19,394, 26,763.72 and 10,562

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Solution

The fourth proportional to 19,394, 26,763.72 and 10,562 is: 14,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,394 : 26,763.72 = 10,562 : x
  2. Step 2: Convert to fraction form
    19,394/26,763.72 = 10,562/x
  3. Step 3: Cross multiply
    19,394x = 26,763.72 × 10,562
  4. Step 4: Simplify right side
    19,394x = 282,678,410.64
  5. Step 5: Solve for x
    x = 282,678,410.64/19,394
  6. Step 6: Final answer
    x = 14,575.56

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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.