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Finding the Fourth Proportional to 15,580.36, 21,493.62 and 10,543

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Solution

The fourth proportional to 15,580.36, 21,493.62 and 10,543 is: 14,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.36 : 21,493.62 = 10,543 : x
  2. Step 2: Convert to fraction form
    15,580.36/21,493.62 = 10,543/x
  3. Step 3: Cross multiply
    15,580.36x = 21,493.62 × 10,543
  4. Step 4: Simplify right side
    15,580.36x = 226,607,235.66
  5. Step 5: Solve for x
    x = 226,607,235.66/15,580.36
  6. Step 6: Final answer
    x = 14,544.42

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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.