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Finding the Fourth Proportional to 11,580.93, 16,002.23 and 9,069.93

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Solution

The fourth proportional to 11,580.93, 16,002.23 and 9,069.93 is: 12,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.93 : 16,002.23 = 9,069.93 : x
  2. Step 2: Convert to fraction form
    11,580.93/16,002.23 = 9,069.93/x
  3. Step 3: Cross multiply
    11,580.93x = 16,002.23 × 9,069.93
  4. Step 4: Simplify right side
    11,580.93x = 145,139,060.59
  5. Step 5: Solve for x
    x = 145,139,060.59/11,580.93
  6. Step 6: Final answer
    x = 12,532.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.