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Finding the Fourth Proportional to 11,580.26, 15,943.52 and 9,024.98

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Solution

The fourth proportional to 11,580.26, 15,943.52 and 9,024.98 is: 12,425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.26 : 15,943.52 = 9,024.98 : x
  2. Step 2: Convert to fraction form
    11,580.26/15,943.52 = 9,024.98/x
  3. Step 3: Cross multiply
    11,580.26x = 15,943.52 × 9,024.98
  4. Step 4: Simplify right side
    11,580.26x = 143,889,904.00
  5. Step 5: Solve for x
    x = 143,889,904.00/11,580.26
  6. Step 6: Final answer
    x = 12,425.45

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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.