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Finding the Fourth Proportional to 15,927.84, 21,980.55 and 9,963

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Solution

The fourth proportional to 15,927.84, 21,980.55 and 9,963 is: 13,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,927.84 : 21,980.55 = 9,963 : x
  2. Step 2: Convert to fraction form
    15,927.84/21,980.55 = 9,963/x
  3. Step 3: Cross multiply
    15,927.84x = 21,980.55 × 9,963
  4. Step 4: Simplify right side
    15,927.84x = 218,992,219.65
  5. Step 5: Solve for x
    x = 218,992,219.65/15,927.84
  6. Step 6: Final answer
    x = 13,749.02

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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.