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Finding the Fourth Proportional to 17,875.73, 24,669.02 and 9,809.75

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Solution

The fourth proportional to 17,875.73, 24,669.02 and 9,809.75 is: 13,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.73 : 24,669.02 = 9,809.75 : x
  2. Step 2: Convert to fraction form
    17,875.73/24,669.02 = 9,809.75/x
  3. Step 3: Cross multiply
    17,875.73x = 24,669.02 × 9,809.75
  4. Step 4: Simplify right side
    17,875.73x = 241,996,918.95
  5. Step 5: Solve for x
    x = 241,996,918.95/17,875.73
  6. Step 6: Final answer
    x = 13,537.74

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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.