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Finding the Fourth Proportional to 17,587.34, 24,270.45 and 9,521

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Solution

The fourth proportional to 17,587.34, 24,270.45 and 9,521 is: 13,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,587.34 : 24,270.45 = 9,521 : x
  2. Step 2: Convert to fraction form
    17,587.34/24,270.45 = 9,521/x
  3. Step 3: Cross multiply
    17,587.34x = 24,270.45 × 9,521
  4. Step 4: Simplify right side
    17,587.34x = 231,078,954.45
  5. Step 5: Solve for x
    x = 231,078,954.45/17,587.34
  6. Step 6: Final answer
    x = 13,138.94

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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.