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Finding the Fourth Proportional to 13,026.88, 17,977.44 and 7,437.76

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Solution

The fourth proportional to 13,026.88, 17,977.44 and 7,437.76 is: 10,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.88 : 17,977.44 = 7,437.76 : x
  2. Step 2: Convert to fraction form
    13,026.88/17,977.44 = 7,437.76/x
  3. Step 3: Cross multiply
    13,026.88x = 17,977.44 × 7,437.76
  4. Step 4: Simplify right side
    13,026.88x = 133,711,884.13
  5. Step 5: Solve for x
    x = 133,711,884.13/13,026.88
  6. Step 6: Final answer
    x = 10,264.31

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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.