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Finding the Fourth Proportional to 13,058.34, 18,009.54 and 8,578.59

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Solution

The fourth proportional to 13,058.34, 18,009.54 and 8,578.59 is: 11,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.34 : 18,009.54 = 8,578.59 : x
  2. Step 2: Convert to fraction form
    13,058.34/18,009.54 = 8,578.59/x
  3. Step 3: Cross multiply
    13,058.34x = 18,009.54 × 8,578.59
  4. Step 4: Simplify right side
    13,058.34x = 154,496,459.75
  5. Step 5: Solve for x
    x = 154,496,459.75/13,058.34
  6. Step 6: Final answer
    x = 11,831.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.