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Finding the Fourth Proportional to 23,089.39, 34,635.13 and 7,077.77

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Solution

The fourth proportional to 23,089.39, 34,635.13 and 7,077.77 is: 10,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,089.39 : 34,635.13 = 7,077.77 : x
  2. Step 2: Convert to fraction form
    23,089.39/34,635.13 = 7,077.77/x
  3. Step 3: Cross multiply
    23,089.39x = 34,635.13 × 7,077.77
  4. Step 4: Simplify right side
    23,089.39x = 245,139,484.06
  5. Step 5: Solve for x
    x = 245,139,484.06/23,089.39
  6. Step 6: Final answer
    x = 10,616.98

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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.