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Finding the Fourth Proportional to 13,026.16, 17,983.76 and 8,557.70

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Solution

The fourth proportional to 13,026.16, 17,983.76 and 8,557.70 is: 11,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.16 : 17,983.76 = 8,557.70 : x
  2. Step 2: Convert to fraction form
    13,026.16/17,983.76 = 8,557.70/x
  3. Step 3: Cross multiply
    13,026.16x = 17,983.76 × 8,557.70
  4. Step 4: Simplify right side
    13,026.16x = 153,899,622.95
  5. Step 5: Solve for x
    x = 153,899,622.95/13,026.16
  6. Step 6: Final answer
    x = 11,814.66

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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.