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Finding the Fourth Proportional to 19,598, 27,045.24 and 10,766

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Solution

The fourth proportional to 19,598, 27,045.24 and 10,766 is: 14,857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,598 : 27,045.24 = 10,766 : x
  2. Step 2: Convert to fraction form
    19,598/27,045.24 = 10,766/x
  3. Step 3: Cross multiply
    19,598x = 27,045.24 × 10,766
  4. Step 4: Simplify right side
    19,598x = 291,169,053.84
  5. Step 5: Solve for x
    x = 291,169,053.84/19,598
  6. Step 6: Final answer
    x = 14,857.08

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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.