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Finding the Fourth Proportional to 12,826.12, 17,700.54 and 7,237

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Solution

The fourth proportional to 12,826.12, 17,700.54 and 7,237 is: 9,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826.12 : 17,700.54 = 7,237 : x
  2. Step 2: Convert to fraction form
    12,826.12/17,700.54 = 7,237/x
  3. Step 3: Cross multiply
    12,826.12x = 17,700.54 × 7,237
  4. Step 4: Simplify right side
    12,826.12x = 128,098,807.98
  5. Step 5: Solve for x
    x = 128,098,807.98/12,826.12
  6. Step 6: Final answer
    x = 9,987.34

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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.