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Finding the Fourth Proportional to 15,477.63, 23,193.75 and 9,616.47

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Solution

The fourth proportional to 15,477.63, 23,193.75 and 9,616.47 is: 14,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477.63 : 23,193.75 = 9,616.47 : x
  2. Step 2: Convert to fraction form
    15,477.63/23,193.75 = 9,616.47/x
  3. Step 3: Cross multiply
    15,477.63x = 23,193.75 × 9,616.47
  4. Step 4: Simplify right side
    15,477.63x = 223,042,001.06
  5. Step 5: Solve for x
    x = 223,042,001.06/15,477.63
  6. Step 6: Final answer
    x = 14,410.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.