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Finding the Fourth Proportional to 25,693.87, 35,457.74 and 14,363.83

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Solution

The fourth proportional to 25,693.87, 35,457.74 and 14,363.83 is: 19,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.87 : 35,457.74 = 14,363.83 : x
  2. Step 2: Convert to fraction form
    25,693.87/35,457.74 = 14,363.83/x
  3. Step 3: Cross multiply
    25,693.87x = 35,457.74 × 14,363.83
  4. Step 4: Simplify right side
    25,693.87x = 509,308,700.44
  5. Step 5: Solve for x
    x = 509,308,700.44/25,693.87
  6. Step 6: Final answer
    x = 19,822.19

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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.