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Finding the Fourth Proportional to 14,838.19, 20,486.72 and 9,463.64

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Solution

The fourth proportional to 14,838.19, 20,486.72 and 9,463.64 is: 13,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.19 : 20,486.72 = 9,463.64 : x
  2. Step 2: Convert to fraction form
    14,838.19/20,486.72 = 9,463.64/x
  3. Step 3: Cross multiply
    14,838.19x = 20,486.72 × 9,463.64
  4. Step 4: Simplify right side
    14,838.19x = 193,878,864.09
  5. Step 5: Solve for x
    x = 193,878,864.09/14,838.19
  6. Step 6: Final answer
    x = 13,066.21

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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.