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Finding the Fourth Proportional to 17,566.95, 24,242.57 and 9,609

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Solution

The fourth proportional to 17,566.95, 24,242.57 and 9,609 is: 13,260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,566.95 : 24,242.57 = 9,609 : x
  2. Step 2: Convert to fraction form
    17,566.95/24,242.57 = 9,609/x
  3. Step 3: Cross multiply
    17,566.95x = 24,242.57 × 9,609
  4. Step 4: Simplify right side
    17,566.95x = 232,946,807.09
  5. Step 5: Solve for x
    x = 232,946,807.09/17,566.95
  6. Step 6: Final answer
    x = 13,260.52

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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.