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Finding the Fourth Proportional to 25,523.16, 35,220.06 and 14,343

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Solution

The fourth proportional to 25,523.16, 35,220.06 and 14,343 is: 19,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,523.16 : 35,220.06 = 14,343 : x
  2. Step 2: Convert to fraction form
    25,523.16/35,220.06 = 14,343/x
  3. Step 3: Cross multiply
    25,523.16x = 35,220.06 × 14,343
  4. Step 4: Simplify right side
    25,523.16x = 505,161,320.58
  5. Step 5: Solve for x
    x = 505,161,320.58/25,523.16
  6. Step 6: Final answer
    x = 19,792.27

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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.