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Finding the Fourth Proportional to 16,842.24, 25,259.52 and 4,531.20

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Solution

The fourth proportional to 16,842.24, 25,259.52 and 4,531.20 is: 6,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.24 : 25,259.52 = 4,531.20 : x
  2. Step 2: Convert to fraction form
    16,842.24/25,259.52 = 4,531.20/x
  3. Step 3: Cross multiply
    16,842.24x = 25,259.52 × 4,531.20
  4. Step 4: Simplify right side
    16,842.24x = 114,455,937.02
  5. Step 5: Solve for x
    x = 114,455,937.02/16,842.24
  6. Step 6: Final answer
    x = 6,795.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.