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Finding the Fourth Proportional to 25,813.56, 35,626.86 and 14,639.16

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Solution

The fourth proportional to 25,813.56, 35,626.86 and 14,639.16 is: 20,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,813.56 : 35,626.86 = 14,639.16 : x
  2. Step 2: Convert to fraction form
    25,813.56/35,626.86 = 14,639.16/x
  3. Step 3: Cross multiply
    25,813.56x = 35,626.86 × 14,639.16
  4. Step 4: Simplify right side
    25,813.56x = 521,547,303.84
  5. Step 5: Solve for x
    x = 521,547,303.84/25,813.56
  6. Step 6: Final answer
    x = 20,204.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.