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Finding the Fourth Proportional to 15,365.14, 23,058.33 and 7,046.08

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Solution

The fourth proportional to 15,365.14, 23,058.33 and 7,046.08 is: 10,573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,365.14 : 23,058.33 = 7,046.08 : x
  2. Step 2: Convert to fraction form
    15,365.14/23,058.33 = 7,046.08/x
  3. Step 3: Cross multiply
    15,365.14x = 23,058.33 × 7,046.08
  4. Step 4: Simplify right side
    15,365.14x = 162,470,837.85
  5. Step 5: Solve for x
    x = 162,470,837.85/15,365.14
  6. Step 6: Final answer
    x = 10,573.99

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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.