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Finding the Fourth Proportional to 25,899.84, 35,741.58 and 14,569.32

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Solution

The fourth proportional to 25,899.84, 35,741.58 and 14,569.32 is: 20,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,899.84 : 35,741.58 = 14,569.32 : x
  2. Step 2: Convert to fraction form
    25,899.84/35,741.58 = 14,569.32/x
  3. Step 3: Cross multiply
    25,899.84x = 35,741.58 × 14,569.32
  4. Step 4: Simplify right side
    25,899.84x = 520,730,516.33
  5. Step 5: Solve for x
    x = 520,730,516.33/25,899.84
  6. Step 6: Final answer
    x = 20,105.55

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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.