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Finding the Fourth Proportional to 17,827.92, 24,602.94 and 9,870.48

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Solution

The fourth proportional to 17,827.92, 24,602.94 and 9,870.48 is: 13,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.92 : 24,602.94 = 9,870.48 : x
  2. Step 2: Convert to fraction form
    17,827.92/24,602.94 = 9,870.48/x
  3. Step 3: Cross multiply
    17,827.92x = 24,602.94 × 9,870.48
  4. Step 4: Simplify right side
    17,827.92x = 242,842,827.21
  5. Step 5: Solve for x
    x = 242,842,827.21/17,827.92
  6. Step 6: Final answer
    x = 13,621.49

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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.