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Finding the Fourth Proportional to 34,473.60, 51,703.92 and 11,097

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Solution

The fourth proportional to 34,473.60, 51,703.92 and 11,097 is: 16,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,473.60 : 51,703.92 = 11,097 : x
  2. Step 2: Convert to fraction form
    34,473.60/51,703.92 = 11,097/x
  3. Step 3: Cross multiply
    34,473.60x = 51,703.92 × 11,097
  4. Step 4: Simplify right side
    34,473.60x = 573,758,400.24
  5. Step 5: Solve for x
    x = 573,758,400.24/34,473.60
  6. Step 6: Final answer
    x = 16,643.41

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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.