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Finding the Fourth Proportional to 25,537.86, 35,242.92 and 14,208.12

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Solution

The fourth proportional to 25,537.86, 35,242.92 and 14,208.12 is: 19,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,537.86 : 35,242.92 = 14,208.12 : x
  2. Step 2: Convert to fraction form
    25,537.86/35,242.92 = 14,208.12/x
  3. Step 3: Cross multiply
    25,537.86x = 35,242.92 × 14,208.12
  4. Step 4: Simplify right side
    25,537.86x = 500,735,636.51
  5. Step 5: Solve for x
    x = 500,735,636.51/25,537.86
  6. Step 6: Final answer
    x = 19,607.58

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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.