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Finding the Fourth Proportional to 17,461.60, 24,091.54 and 9,907.36

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Solution

The fourth proportional to 17,461.60, 24,091.54 and 9,907.36 is: 13,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.60 : 24,091.54 = 9,907.36 : x
  2. Step 2: Convert to fraction form
    17,461.60/24,091.54 = 9,907.36/x
  3. Step 3: Cross multiply
    17,461.60x = 24,091.54 × 9,907.36
  4. Step 4: Simplify right side
    17,461.60x = 238,683,559.73
  5. Step 5: Solve for x
    x = 238,683,559.73/17,461.60
  6. Step 6: Final answer
    x = 13,669.05

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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.