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Finding the Fourth Proportional to 15,828.73, 21,842.93 and 9,114.57

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Solution

The fourth proportional to 15,828.73, 21,842.93 and 9,114.57 is: 12,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.73 : 21,842.93 = 9,114.57 : x
  2. Step 2: Convert to fraction form
    15,828.73/21,842.93 = 9,114.57/x
  3. Step 3: Cross multiply
    15,828.73x = 21,842.93 × 9,114.57
  4. Step 4: Simplify right side
    15,828.73x = 199,088,937.28
  5. Step 5: Solve for x
    x = 199,088,937.28/15,828.73
  6. Step 6: Final answer
    x = 12,577.70

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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.