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Finding the Fourth Proportional to 17,235.60, 25,828.80 and 9,824.40

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Solution

The fourth proportional to 17,235.60, 25,828.80 and 9,824.40 is: 14,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.60 : 25,828.80 = 9,824.40 : x
  2. Step 2: Convert to fraction form
    17,235.60/25,828.80 = 9,824.40/x
  3. Step 3: Cross multiply
    17,235.60x = 25,828.80 × 9,824.40
  4. Step 4: Simplify right side
    17,235.60x = 253,752,462.72
  5. Step 5: Solve for x
    x = 253,752,462.72/17,235.60
  6. Step 6: Final answer
    x = 14,722.58

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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.