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Finding the Fourth Proportional to 34,035.12, 51,059.16 and 13,257

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Solution

The fourth proportional to 34,035.12, 51,059.16 and 13,257 is: 19,888.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,035.12 : 51,059.16 = 13,257 : x
  2. Step 2: Convert to fraction form
    34,035.12/51,059.16 = 13,257/x
  3. Step 3: Cross multiply
    34,035.12x = 51,059.16 × 13,257
  4. Step 4: Simplify right side
    34,035.12x = 676,891,284.12
  5. Step 5: Solve for x
    x = 676,891,284.12/34,035.12
  6. Step 6: Final answer
    x = 19,888.02

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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.