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Finding the Fourth Proportional to 16,407.90, 22,663.80 and 13,768.92

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Solution

The fourth proportional to 16,407.90, 22,663.80 and 13,768.92 is: 19,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.90 : 22,663.80 = 13,768.92 : x
  2. Step 2: Convert to fraction form
    16,407.90/22,663.80 = 13,768.92/x
  3. Step 3: Cross multiply
    16,407.90x = 22,663.80 × 13,768.92
  4. Step 4: Simplify right side
    16,407.90x = 312,056,049.10
  5. Step 5: Solve for x
    x = 312,056,049.10/16,407.90
  6. Step 6: Final answer
    x = 19,018.65

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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.