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Finding the Fourth Proportional to 25,509.51, 35,197.65 and 14,894.32

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Solution

The fourth proportional to 25,509.51, 35,197.65 and 14,894.32 is: 20,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.51 : 35,197.65 = 14,894.32 : x
  2. Step 2: Convert to fraction form
    25,509.51/35,197.65 = 14,894.32/x
  3. Step 3: Cross multiply
    25,509.51x = 35,197.65 × 14,894.32
  4. Step 4: Simplify right side
    25,509.51x = 524,245,062.35
  5. Step 5: Solve for x
    x = 524,245,062.35/25,509.51
  6. Step 6: Final answer
    x = 20,550.97

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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.