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Finding the Fourth Proportional to 14,379.84, 19,853.28 and 9,902.16

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Solution

The fourth proportional to 14,379.84, 19,853.28 and 9,902.16 is: 13,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,379.84 : 19,853.28 = 9,902.16 : x
  2. Step 2: Convert to fraction form
    14,379.84/19,853.28 = 9,902.16/x
  3. Step 3: Cross multiply
    14,379.84x = 19,853.28 × 9,902.16
  4. Step 4: Simplify right side
    14,379.84x = 196,590,355.08
  5. Step 5: Solve for x
    x = 196,590,355.08/14,379.84
  6. Step 6: Final answer
    x = 13,671.25

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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.