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Finding the Fourth Proportional to 17,426, 24,048 and 9,468.24

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Solution

The fourth proportional to 17,426, 24,048 and 9,468.24 is: 13,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,426 : 24,048 = 9,468.24 : x
  2. Step 2: Convert to fraction form
    17,426/24,048 = 9,468.24/x
  3. Step 3: Cross multiply
    17,426x = 24,048 × 9,468.24
  4. Step 4: Simplify right side
    17,426x = 227,692,235.52
  5. Step 5: Solve for x
    x = 227,692,235.52/17,426
  6. Step 6: Final answer
    x = 13,066.24

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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.