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Finding the Fourth Proportional to 25,470, 35,133.36 and 16,022.16

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Solution

The fourth proportional to 25,470, 35,133.36 and 16,022.16 is: 22,100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470 : 35,133.36 = 16,022.16 : x
  2. Step 2: Convert to fraction form
    25,470/35,133.36 = 16,022.16/x
  3. Step 3: Cross multiply
    25,470x = 35,133.36 × 16,022.16
  4. Step 4: Simplify right side
    25,470x = 562,912,315.26
  5. Step 5: Solve for x
    x = 562,912,315.26/25,470
  6. Step 6: Final answer
    x = 22,100.99

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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.