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Finding the Fourth Proportional to 23,970.29, 33,077.77 and 13,216.93

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Solution

The fourth proportional to 23,970.29, 33,077.77 and 13,216.93 is: 18,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,970.29 : 33,077.77 = 13,216.93 : x
  2. Step 2: Convert to fraction form
    23,970.29/33,077.77 = 13,216.93/x
  3. Step 3: Cross multiply
    23,970.29x = 33,077.77 × 13,216.93
  4. Step 4: Simplify right side
    23,970.29x = 437,186,454.91
  5. Step 5: Solve for x
    x = 437,186,454.91/23,970.29
  6. Step 6: Final answer
    x = 18,238.68

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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.