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Finding the Fourth Proportional to 17,123.84, 23,630.72 and 9,570.32

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Solution

The fourth proportional to 17,123.84, 23,630.72 and 9,570.32 is: 13,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123.84 : 23,630.72 = 9,570.32 : x
  2. Step 2: Convert to fraction form
    17,123.84/23,630.72 = 9,570.32/x
  3. Step 3: Cross multiply
    17,123.84x = 23,630.72 × 9,570.32
  4. Step 4: Simplify right side
    17,123.84x = 226,153,552.23
  5. Step 5: Solve for x
    x = 226,153,552.23/17,123.84
  6. Step 6: Final answer
    x = 13,206.94

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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.