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Finding the Fourth Proportional to 15,825.24, 21,840.99 and 9,110.70

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Solution

The fourth proportional to 15,825.24, 21,840.99 and 9,110.70 is: 12,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.24 : 21,840.99 = 9,110.70 : x
  2. Step 2: Convert to fraction form
    15,825.24/21,840.99 = 9,110.70/x
  3. Step 3: Cross multiply
    15,825.24x = 21,840.99 × 9,110.70
  4. Step 4: Simplify right side
    15,825.24x = 198,986,707.59
  5. Step 5: Solve for x
    x = 198,986,707.59/15,825.24
  6. Step 6: Final answer
    x = 12,574.01

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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.