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Finding the Fourth Proportional to 15,319, 21,139.81 and 8,605.36

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Solution

The fourth proportional to 15,319, 21,139.81 and 8,605.36 is: 11,875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319 : 21,139.81 = 8,605.36 : x
  2. Step 2: Convert to fraction form
    15,319/21,139.81 = 8,605.36/x
  3. Step 3: Cross multiply
    15,319x = 21,139.81 × 8,605.36
  4. Step 4: Simplify right side
    15,319x = 181,915,675.38
  5. Step 5: Solve for x
    x = 181,915,675.38/15,319
  6. Step 6: Final answer
    x = 11,875.17

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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.