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Finding the Fourth Proportional to 25,810.56, 35,622.72 and 14,636.16

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Solution

The fourth proportional to 25,810.56, 35,622.72 and 14,636.16 is: 20,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,810.56 : 35,622.72 = 14,636.16 : x
  2. Step 2: Convert to fraction form
    25,810.56/35,622.72 = 14,636.16/x
  3. Step 3: Cross multiply
    25,810.56x = 35,622.72 × 14,636.16
  4. Step 4: Simplify right side
    25,810.56x = 521,379,829.56
  5. Step 5: Solve for x
    x = 521,379,829.56/25,810.56
  6. Step 6: Final answer
    x = 20,200.25

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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.