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Finding the Fourth Proportional to 34,201.46, 51,307.59 and 13,140.66

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Solution

The fourth proportional to 34,201.46, 51,307.59 and 13,140.66 is: 19,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,201.46 : 51,307.59 = 13,140.66 : x
  2. Step 2: Convert to fraction form
    34,201.46/51,307.59 = 13,140.66/x
  3. Step 3: Cross multiply
    34,201.46x = 51,307.59 × 13,140.66
  4. Step 4: Simplify right side
    34,201.46x = 674,215,595.61
  5. Step 5: Solve for x
    x = 674,215,595.61/34,201.46
  6. Step 6: Final answer
    x = 19,713.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.