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Finding the Fourth Proportional to 17,826.48, 24,602.52 and 10,374

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Solution

The fourth proportional to 17,826.48, 24,602.52 and 10,374 is: 14,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.48 : 24,602.52 = 10,374 : x
  2. Step 2: Convert to fraction form
    17,826.48/24,602.52 = 10,374/x
  3. Step 3: Cross multiply
    17,826.48x = 24,602.52 × 10,374
  4. Step 4: Simplify right side
    17,826.48x = 255,226,542.48
  5. Step 5: Solve for x
    x = 255,226,542.48/17,826.48
  6. Step 6: Final answer
    x = 14,317.27

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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.