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Finding the Fourth Proportional to 17,907.92, 24,714 and 10,355.60

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Solution

The fourth proportional to 17,907.92, 24,714 and 10,355.60 is: 14,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,907.92 : 24,714 = 10,355.60 : x
  2. Step 2: Convert to fraction form
    17,907.92/24,714 = 10,355.60/x
  3. Step 3: Cross multiply
    17,907.92x = 24,714 × 10,355.60
  4. Step 4: Simplify right side
    17,907.92x = 255,928,298.40
  5. Step 5: Solve for x
    x = 255,928,298.40/17,907.92
  6. Step 6: Final answer
    x = 14,291.35

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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.