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Finding the Fourth Proportional to 14,547.16, 21,827.24 and 5,311

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Solution

The fourth proportional to 14,547.16, 21,827.24 and 5,311 is: 7,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.16 : 21,827.24 = 5,311 : x
  2. Step 2: Convert to fraction form
    14,547.16/21,827.24 = 5,311/x
  3. Step 3: Cross multiply
    14,547.16x = 21,827.24 × 5,311
  4. Step 4: Simplify right side
    14,547.16x = 115,924,471.64
  5. Step 5: Solve for x
    x = 115,924,471.64/14,547.16
  6. Step 6: Final answer
    x = 7,968.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.