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Finding the Fourth Proportional to 14,292.48, 19,702.92 and 9,809.20

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Solution

The fourth proportional to 14,292.48, 19,702.92 and 9,809.20 is: 13,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292.48 : 19,702.92 = 9,809.20 : x
  2. Step 2: Convert to fraction form
    14,292.48/19,702.92 = 9,809.20/x
  3. Step 3: Cross multiply
    14,292.48x = 19,702.92 × 9,809.20
  4. Step 4: Simplify right side
    14,292.48x = 193,269,882.86
  5. Step 5: Solve for x
    x = 193,269,882.86/14,292.48
  6. Step 6: Final answer
    x = 13,522.49

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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.