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Finding the Fourth Proportional to 34,097.64, 51,116.34 and 13,306.60

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Solution

The fourth proportional to 34,097.64, 51,116.34 and 13,306.60 is: 19,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,097.64 : 51,116.34 = 13,306.60 : x
  2. Step 2: Convert to fraction form
    34,097.64/51,116.34 = 13,306.60/x
  3. Step 3: Cross multiply
    34,097.64x = 51,116.34 × 13,306.60
  4. Step 4: Simplify right side
    34,097.64x = 680,184,689.84
  5. Step 5: Solve for x
    x = 680,184,689.84/34,097.64
  6. Step 6: Final answer
    x = 19,948.15

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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.