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Finding the Fourth Proportional to 17,562.84, 26,346 and 7,570.92

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Solution

The fourth proportional to 17,562.84, 26,346 and 7,570.92 is: 11,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,562.84 : 26,346 = 7,570.92 : x
  2. Step 2: Convert to fraction form
    17,562.84/26,346 = 7,570.92/x
  3. Step 3: Cross multiply
    17,562.84x = 26,346 × 7,570.92
  4. Step 4: Simplify right side
    17,562.84x = 199,463,458.32
  5. Step 5: Solve for x
    x = 199,463,458.32/17,562.84
  6. Step 6: Final answer
    x = 11,357.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.