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Finding the Fourth Proportional to 14,039.72, 21,064.89 and 6,547.11

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Solution

The fourth proportional to 14,039.72, 21,064.89 and 6,547.11 is: 9,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,039.72 : 21,064.89 = 6,547.11 : x
  2. Step 2: Convert to fraction form
    14,039.72/21,064.89 = 6,547.11/x
  3. Step 3: Cross multiply
    14,039.72x = 21,064.89 × 6,547.11
  4. Step 4: Simplify right side
    14,039.72x = 137,914,151.97
  5. Step 5: Solve for x
    x = 137,914,151.97/14,039.72
  6. Step 6: Final answer
    x = 9,823.14

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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.