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Finding the Fourth Proportional to 17,417.82, 24,036.24 and 10,248.50

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Solution

The fourth proportional to 17,417.82, 24,036.24 and 10,248.50 is: 14,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,417.82 : 24,036.24 = 10,248.50 : x
  2. Step 2: Convert to fraction form
    17,417.82/24,036.24 = 10,248.50/x
  3. Step 3: Cross multiply
    17,417.82x = 24,036.24 × 10,248.50
  4. Step 4: Simplify right side
    17,417.82x = 246,335,405.64
  5. Step 5: Solve for x
    x = 246,335,405.64/17,417.82
  6. Step 6: Final answer
    x = 14,142.72

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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.