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Finding the Fourth Proportional to 15,538.82, 21,437.15 and 10,825.83

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Solution

The fourth proportional to 15,538.82, 21,437.15 and 10,825.83 is: 14,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.82 : 21,437.15 = 10,825.83 : x
  2. Step 2: Convert to fraction form
    15,538.82/21,437.15 = 10,825.83/x
  3. Step 3: Cross multiply
    15,538.82x = 21,437.15 × 10,825.83
  4. Step 4: Simplify right side
    15,538.82x = 232,074,887.46
  5. Step 5: Solve for x
    x = 232,074,887.46/15,538.82
  6. Step 6: Final answer
    x = 14,935.17

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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.