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Finding the Fourth Proportional to 17,856.80, 24,640.20 and 10,302.32

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Solution

The fourth proportional to 17,856.80, 24,640.20 and 10,302.32 is: 14,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.80 : 24,640.20 = 10,302.32 : x
  2. Step 2: Convert to fraction form
    17,856.80/24,640.20 = 10,302.32/x
  3. Step 3: Cross multiply
    17,856.80x = 24,640.20 × 10,302.32
  4. Step 4: Simplify right side
    17,856.80x = 253,851,225.26
  5. Step 5: Solve for x
    x = 253,851,225.26/17,856.80
  6. Step 6: Final answer
    x = 14,215.94

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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.